His son, Pedro, tells The Associated Press that Borbon had been in hospice care and died at home in Pharr, Texas, on Monday. He requested no memorial service.
Borbon was a key member of the bullpen on Cincinnati's 1975-76 championship teams. He also pitched for the Angels, Giants and Cardinals.
Borbon made news in 1995 when, at age 48, he tried out to be a replacement player during Major League Baseball's labor dispute. He struck out the only batter he faced in a spring training game before being released.
He also became famous for being mentioned in the 1980 movie "Airplane!"