72724077 has 24 divisors (see below), whose sum is σ = 111675200. Its totient is φ = 45474048.

The previous prime is 72724033. The next prime is 72724111. The reversal of 72724077 is 77042727.

It is not a de Polignac number, because 72724077 - 2⁶ = 72724013 is a prime.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72724007) 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, 15549 + ... + 19677.

Almost surely, 2^72724077 is an apocalyptic number.

It is an amenable number.

72724077 is a deficient number, since it is larger than the sum of its proper divisors (38951123).

72724077 is a wasteful number, since it uses less digits than its factorization.

72724077 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4257 (or 4254 counting only the distinct ones).

The product of its (nonzero) digits is 38416, while the sum is 36.

The square root of 72724077 is about 8527.8412860465. The cubic root of 72724077 is about 417.4066905150.

The spelling of 72724077 in words is "seventy-two million, seven hundred twenty-four thousand, seventy-seven".