DEPR: deprecate is_any_int_dtype and is_floating_dtype from pandas.api.types
closes #16042 


# [Codecov](https://codecov.io/gh/pandas-dev/pandas/pull/16163?src=pr&el=h1) Report
> Merging [#16163](https://codecov.io/gh/pandas-dev/pandas/pull/16163?src=pr&el=desc) into [master](https://codecov.io/gh/pandas-dev/pandas/commit/075eca1fa085359b71f26d02c2f44156068e123c?src=pr&el=desc) will **increase** coverage by `<.01%`.
> The diff coverage is `100%`.

[![Impacted file tree graph](https://codecov.io/gh/pandas-dev/pandas/pull/16163/graphs/tree.svg?width=650&height=150&token=eZ4WkYLtcO&src=pr)](https://codecov.io/gh/pandas-dev/pandas/pull/16163?src=pr&el=tree)

```diff
@@            Coverage Diff             @@
##           master   #16163      +/-   ##
==========================================
+ Coverage   90.87%   90.87%   +<.01%     
==========================================
  Files         162      162              
  Lines       50816    50826      +10     
==========================================
+ Hits        46178    46190      +12     
+ Misses       4638     4636       -2
```

| Flag | Coverage Δ | |
|---|---|---|
| #multiple | `88.66% <100%> (ø)` | :arrow_up: |
| #single | `40.33% <66.66%> (ø)` | :arrow_up: |

| [Impacted Files](https://codecov.io/gh/pandas-dev/pandas/pull/16163?src=pr&el=tree) | Coverage Δ | |
|---|---|---|
| [pandas/api/types/\_\_init\_\_.py](https://codecov.io/gh/pandas-dev/pandas/pull/16163?src=pr&el=tree#diff-cGFuZGFzL2FwaS90eXBlcy9fX2luaXRfXy5weQ==) | `100% <ø> (ø)` | :arrow_up: |
| [pandas/core/dtypes/api.py](https://codecov.io/gh/pandas-dev/pandas/pull/16163?src=pr&el=tree#diff-cGFuZGFzL2NvcmUvZHR5cGVzL2FwaS5weQ==) | `100% <100%> (ø)` | :arrow_up: |
| [pandas/core/dtypes/common.py](https://codecov.io/gh/pandas-dev/pandas/pull/16163?src=pr&el=tree#diff-cGFuZGFzL2NvcmUvZHR5cGVzL2NvbW1vbi5weQ==) | `93.5% <0%> (+0.25%)` | :arrow_up: |
| [pandas/core/common.py](https://codecov.io/gh/pandas-dev/pandas/pull/16163?src=pr&el=tree#diff-cGFuZGFzL2NvcmUvY29tbW9uLnB5) | `91.03% <0%> (+0.34%)` | :arrow_up: |

------

[Continue to review full report at Codecov](https://codecov.io/gh/pandas-dev/pandas/pull/16163?src=pr&el=continue).
> **Legend** - [Click here to learn more](https://docs.codecov.io/docs/codecov-delta)
> `Δ = absolute <relative> (impact)`, `ø = not affected`, `? = missing data`
> Powered by [Codecov](https://codecov.io/gh/pandas-dev/pandas/pull/16163?src=pr&el=footer). Last update [075eca1...1651d74](https://codecov.io/gh/pandas-dev/pandas/pull/16163?src=pr&el=lastupdated). Read the [comment docs](https://docs.codecov.io/docs/pull-request-comments).
 # [Codecov](https://codecov.io/gh/pandas-dev/pandas/pull/16163?src=pr&el=h1) Report
> Merging [#16163](https://codecov.io/gh/pandas-dev/pandas/pull/16163?src=pr&el=desc) into [master](https://codecov.io/gh/pandas-dev/pandas/commit/075eca1fa085359b71f26d02c2f44156068e123c?src=pr&el=desc) will **decrease** coverage by `0.01%`.
> The diff coverage is `100%`.

[![Impacted file tree graph](https://codecov.io/gh/pandas-dev/pandas/pull/16163/graphs/tree.svg?width=650&height=150&token=eZ4WkYLtcO&src=pr)](https://codecov.io/gh/pandas-dev/pandas/pull/16163?src=pr&el=tree)

```diff
@@            Coverage Diff             @@
##           master   #16163      +/-   ##
==========================================
- Coverage   90.87%   90.85%   -0.02%     
==========================================
  Files         162      162              
  Lines       50816    50826      +10     
==========================================
  Hits        46178    46178              
- Misses       4638     4648      +10
```

| Flag | Coverage Δ | |
|---|---|---|
| #multiple | `88.63% <100%> (-0.02%)` | :arrow_down: |
| #single | `40.33% <66.66%> (ø)` | :arrow_up: |

| [Impacted Files](https://codecov.io/gh/pandas-dev/pandas/pull/16163?src=pr&el=tree) | Coverage Δ | |
|---|---|---|
| [pandas/api/types/\_\_init\_\_.py](https://codecov.io/gh/pandas-dev/pandas/pull/16163?src=pr&el=tree#diff-cGFuZGFzL2FwaS90eXBlcy9fX2luaXRfXy5weQ==) | `100% <ø> (ø)` | :arrow_up: |
| [pandas/core/dtypes/api.py](https://codecov.io/gh/pandas-dev/pandas/pull/16163?src=pr&el=tree#diff-cGFuZGFzL2NvcmUvZHR5cGVzL2FwaS5weQ==) | `100% <100%> (ø)` | :arrow_up: |
| [pandas/plotting/\_converter.py](https://codecov.io/gh/pandas-dev/pandas/pull/16163?src=pr&el=tree#diff-cGFuZGFzL3Bsb3R0aW5nL19jb252ZXJ0ZXIucHk=) | `63.54% <0%> (-1.82%)` | :arrow_down: |
| [pandas/core/dtypes/common.py](https://codecov.io/gh/pandas-dev/pandas/pull/16163?src=pr&el=tree#diff-cGFuZGFzL2NvcmUvZHR5cGVzL2NvbW1vbi5weQ==) | `93.5% <0%> (+0.25%)` | :arrow_up: |
| [pandas/core/common.py](https://codecov.io/gh/pandas-dev/pandas/pull/16163?src=pr&el=tree#diff-cGFuZGFzL2NvcmUvY29tbW9uLnB5) | `91.03% <0%> (+0.34%)` | :arrow_up: |

------

[Continue to review full report at Codecov](https://codecov.io/gh/pandas-dev/pandas/pull/16163?src=pr&el=continue).
> **Legend** - [Click here to learn more](https://docs.codecov.io/docs/codecov-delta)
> `Δ = absolute <relative> (impact)`, `ø = not affected`, `? = missing data`
> Powered by [Codecov](https://codecov.io/gh/pandas-dev/pandas/pull/16163?src=pr&el=footer). Last update [075eca1...6d97cfa](https://codecov.io/gh/pandas-dev/pandas/pull/16163?src=pr&el=lastupdated). Read the [comment docs](https://docs.codecov.io/docs/pull-request-comments).
 added the rest.