72832672 has 24 divisors (see below), whose sum is σ = 156425472. Its totient is φ = 33105600.

The previous prime is 72832663. The next prime is 72832679. The reversal of 72832672 is 27623827.

It is a happy number.

It is a super-2 number, since 2×72832672² = 10609196221319168, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (72832679) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 103104 + ... + 103807.

It is an arithmetic number, because the mean of its divisors is an integer number (6517728).

Almost surely, 2^72832672 is an apocalyptic number.

It is an amenable number.

72832672 is an abundant number, since it is smaller than the sum of its proper divisors (83592800).

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

72832672 is a wasteful number, since it uses less digits than its factorization.

72832672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206932 (or 206924 counting only the distinct ones).

The product of its digits is 56448, while the sum is 37.

The square root of 72832672 is about 8534.2059970451. The cubic root of 72832672 is about 417.6143509305.

The spelling of 72832672 in words is "seventy-two million, eight hundred thirty-two thousand, six hundred seventy-two".