His family confirmed his death on Friday on Twitter.
He had cut the tour short in April, however, citing a series of health challenges.
Rogers launched his solo career after the group disbanded in 1976.

Credit: Paul Natkin/Getty Images
Lucille, off his self-titled second album, solidified Rogers career and earned him a Grammy.
This marked another creative facet to Rogers, who worked as an actor and photographer alongside music.
We need Dolly Parton,' he recalled saying.
and I said, Well, go get her!
It took on a personality of its own.
1 spot on the country music charts with Buy Me a Rose in 2000.
In 2015, he decided he needed to fold em.
I really want to be there with my kids and my wife.
Theyre very important to me and I dont see enough of them.
Weve been so excited about this because he says, of course, hes retiring, Parton said.