72720824 has 32 divisors (see below), whose sum is σ = 149232240. Its totient is φ = 32947200.

The previous prime is 72720793. The next prime is 72720829. The reversal of 72720824 is 42802727.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72720829) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 29894 + ... + 32234.

Almost surely, 2^72720824 is an apocalyptic number.

It is an amenable number.

72720824 is an abundant number, since it is smaller than the sum of its proper divisors (76511416).

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

72720824 is a wasteful number, since it uses less digits than its factorization.

72720824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2711 (or 2707 counting only the distinct ones).

The product of its (nonzero) digits is 12544, while the sum is 32.

The square root of 72720824 is about 8527.6505556923. The cubic root of 72720824 is about 417.4004667889.

The spelling of 72720824 in words is "seventy-two million, seven hundred twenty thousand, eight hundred twenty-four".