72310464 has 42 divisors (see below), whose sum is σ = 207266540. Its totient is φ = 24103296.

The previous prime is 72310457. The next prime is 72310471. The reversal of 72310464 is 46401327.

It is an interprime number because it is at equal distance from previous prime (72310457) and next prime (72310471).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 62194 + ... + 63345.

Almost surely, 2^72310464 is an apocalyptic number.

It is an amenable number.

72310464 is an abundant number, since it is smaller than the sum of its proper divisors (134956076).

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

72310464 is a wasteful number, since it uses less digits than its factorization.

72310464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125557 (or 125544 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 72310464 is about 8503.5559620667. Note that the first 3 decimals coincide. The cubic root of 72310464 is about 416.6138619661.

The spelling of 72310464 in words is "seventy-two million, three hundred ten thousand, four hundred sixty-four".