72665032 has 16 divisors (see below), whose sum is σ = 148633200. Its totient is φ = 33029520.

The previous prime is 72665009. The next prime is 72665057. The reversal of 72665032 is 23056627.

It is a super-2 number, since 2×72665032² = 10560413751122048, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 72664985 and 72665003.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 412782 + ... + 412957.

It is an arithmetic number, because the mean of its divisors is an integer number (9289575).

Almost surely, 2^72665032 is an apocalyptic number.

It is an amenable number.

72665032 is an abundant number, since it is smaller than the sum of its proper divisors (75968168).

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

72665032 is a wasteful number, since it uses less digits than its factorization.

72665032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 825756 (or 825752 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 31.

The square root of 72665032 is about 8524.3786870364. The cubic root of 72665032 is about 417.2936951491.

The spelling of 72665032 in words is "seventy-two million, six hundred sixty-five thousand, thirty-two".