Mushin Ahmed was attacked just off Fitzwilliam Road on Monday 10 August.
Two men from the town have already been charged with assault with intent and were remanded in custody by magistrates.
Damien Hunt, 29, of Doncaster Road, and 21-year-old Kieran Rice, of Oakes Meadow, are due to appear at Sheffield Crown Court on 28 August.
Det Ch Insp Chris Singleton, of South Yorkshire Police, said: "He was a much loved and respected member of his community and his relatives are receiving specialist support from officers during this difficult time."
Two other men, aged 29 and 24, arrested earlier this week have been bailed.
A man seriously injured in an assault in Rotherham has died in hospital.