The 1972 Alcorn A&M Braves football team represented Alcorn A&M College (now known as Alcorn State University) as a member of the Southwestern Athletic Conference (SWAC) during the 1972 NCAA College Division football season. Led by ninth-year head coach Marino Casem, the Braves compiled an overall record of 5–3–1, with a conference record of 4–1–1, and finished third in the SWAC.

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