7632

7632 is a natural number that comes after 7631 and before 7633. It is an even, composite four-digit number. Its prime factorization is 2^4 × 3^2 × 53, so it has 30 positive divisors. The sum of its digits is 18, which makes it divisible by 9 and by 3; in fact 7632 is divisible by 9, 3, and 18, since 7632/18 equals 424. It is also divisible by 16 (7632/16 = 477) and by 53 (7632/53 = 144). Thus 7632 = 2^4 × 3^2 × 53.

In other contexts, 7632 may be encountered as an identifier in catalogs, such as a model number, product code, or route or postal designation in various countries. As a year, 7632 AD would be a far-future date in the proleptic Gregorian calendar and would be a leap year by the usual rules, but it has no historical significance in contemporary records. In recreational number theory, 7632 is cited as an example of a four-digit composite with multiple small prime factors.