13632072 has 32 divisors (see below), whose sum is σ = 34171200. Its totient is φ = 4531904.

The previous prime is 13632037. The next prime is 13632083. The reversal of 13632072 is 27023631.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15829 + ... + 16667.

It is an arithmetic number, because the mean of its divisors is an integer number (1067850).

Almost surely, 2^13632072 is an apocalyptic number.

13632072 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13632072 is an abundant number, since it is smaller than the sum of its proper divisors (20539128).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13632072 is a wasteful number, since it uses less digits than its factorization.

13632072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1525 (or 1521 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 24.

The square root of 13632072 is about 3692.1635933420. The cubic root of 13632072 is about 238.8841253622.

The spelling of 13632072 in words is "thirteen million, six hundred thirty-two thousand, seventy-two".