Tommy Ward was found badly beaten at his home in Salisbury Road, Maltby, on 1 October 2015. Around Â£30,000 was thought to have been stolen.
He died from his injuries in hospital on 23 February.
The men, aged 23, 30 and 35, were arrested on suspicion of murder on Wednesday by South Yorkshire Police.
Anyone with information is asked to contact the force as its investigation into Mr Ward's death continues.
Three men arrested in connection with the murder of an 80-year-old man who died following a violent robbery at his home have been bailed.