72657824 has 24 divisors (see below), whose sum is σ = 150575040. Its totient is φ = 34416576.

The previous prime is 72657821. The next prime is 72657839. The reversal of 72657824 is 42875627.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72657821) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 59144 + ... + 60359.

It is an arithmetic number, because the mean of its divisors is an integer number (6273960).

Almost surely, 2^72657824 is an apocalyptic number.

It is an amenable number.

72657824 is an abundant number, since it is smaller than the sum of its proper divisors (77917216).

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

72657824 is a wasteful number, since it uses less digits than its factorization.

72657824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119532 (or 119524 counting only the distinct ones).

The product of its digits is 188160, while the sum is 41.

The square root of 72657824 is about 8523.9558891397. The cubic root of 72657824 is about 417.2798968919.

The spelling of 72657824 in words is "seventy-two million, six hundred fifty-seven thousand, eight hundred twenty-four".