Arthur Green, who used a walking stick and was well-known in the South Ayrshire town, was found by a family member at his home in Pleasantfield Road at 08:10 on 20 November.
Police Scotland said the men, aged 33, 34 and 44, were in police custody in connection with the death.
They are expected to appear at Ayr Sheriff Court on Monday.
Three men have been arrested in connection with the death of a "frail" man at his home in Prestwick.