72671632 has 30 divisors (see below), whose sum is σ = 154769174. Its totient is φ = 33031680.

The previous prime is 72671629. The next prime is 72671653. The reversal of 72671632 is 23617627.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 59969536 + 12702096 = 7744^2 + 3564^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 16833 + ... + 20704.

Almost surely, 2^72671632 is an apocalyptic number.

It is an amenable number.

72671632 is an abundant number, since it is smaller than the sum of its proper divisors (82097542).

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

72671632 is a wasteful number, since it uses less digits than its factorization.

72671632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37567 (or 37550 counting only the distinct ones).

The product of its digits is 21168, while the sum is 34.

The square root of 72671632 is about 8524.7658032347. The cubic root of 72671632 is about 417.3063287132.

The spelling of 72671632 in words is "seventy-two million, six hundred seventy-one thousand, six hundred thirty-two".