Henderson died Friday of complications from diabetes at a Daytona Beach health care facility, his wife, Barbara, said.
The 1972 song "I'll Be Around" was part of a string of Top 20 Spinners hits that included "Could It Be I'm Falling in Love," "Then Came You" and "The Rubberband Man."
The five-member band of high school friends formed in 1954 in Ferndale, Mich., a Detroit suburb. They went on to be nominated for six Grammy Awards and became the second black musical group to get a star on the Hollywood Walk of Fame.
Four of the original band members, including Henderson, continued to perform together until recently. He was dismissed from the group in 2004 after suing the group's corporation and business manager to obtain financial records.