Fait mathématique: 7342 is the number of ways to stack 29 pennies in contiguous rows so that each penny lies on the table or on two pennies.
Culture générale: 7342 is a number for which we're missing a fact (submit one to numbersapi at google mail!).
Date historique: February 6th is the day in 1649 that the claimant King Charles II of England and Scotland is declared King of Great Britain, by the Parliament of Scotland.