72732807 has 24 divisors (see below), whose sum is σ = 122522400. Its totient is φ = 41559840.

The previous prime is 72732769. The next prime is 72732809. The reversal of 72732807 is 70823727.

It is not a de Polignac number, because 72732807 - 2²⁰ = 71684231 is a prime.

It is a super-2 number, since 2×72732807² = 10580122428198498, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72732809) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8694 + ... + 14867.

It is an arithmetic number, because the mean of its divisors is an integer number (5105100).

Almost surely, 2^72732807 is an apocalyptic number.

72732807 is a deficient number, since it is larger than the sum of its proper divisors (49789593).

72732807 is a wasteful number, since it uses less digits than its factorization.

72732807 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23588 (or 23571 counting only the distinct ones).

The product of its (nonzero) digits is 32928, while the sum is 36.

The square root of 72732807 is about 8528.3531235520. The cubic root of 72732807 is about 417.4233920658.

The spelling of 72732807 in words is "seventy-two million, seven hundred thirty-two thousand, eight hundred seven".