He was a stalwart of the Celebrities Guild, the Jewish version of the Variety Club.
Described by fellow broadcaster Chris Evans as "one of the cornerstones of British broadcasting."
Mr Jacobs suffered tragedy in 1973 as his only son, Jeremy, was killed in Israel after being hit in a road accident.
His second wife, Caroline Munro, also died on the road two years later. The couple were on their honeymoon at the time.
He stepped down from his Radio 2 show last month after being treated for liver cancer and Parkinson's Disease.
Mr Jacobs is survived by three daughters.
