Fait mathématique: 5624 is the number of binary 5×5 matrices up to permutations of rows and columns.
Culture générale: 5624 is a number for which we're missing a fact (submit one to numbersapi at google mail!).
Date historique: May 25th is the day in 1521 that the Diet of Worms ends when Charles V, Holy Roman Emperor, issues the Edict of Worms, declaring Martin Luther an outlaw.