72145864 has 32 divisors (see below), whose sum is σ = 154889280. Its totient is φ = 30861504.

The previous prime is 72145817. The next prime is 72145877. The reversal of 72145864 is 46854127.

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 7 ways as a sum of consecutive naturals, for example, 43254 + ... + 44890.

It is an arithmetic number, because the mean of its divisors is an integer number (4840290).

Almost surely, 2^72145864 is an apocalyptic number.

It is an amenable number.

72145864 is an abundant number, since it is smaller than the sum of its proper divisors (82743416).

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

72145864 is a wasteful number, since it uses less digits than its factorization.

72145864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2437 (or 2433 counting only the distinct ones).

The product of its digits is 53760, while the sum is 37.

The square root of 72145864 is about 8493.8721440813. The cubic root of 72145864 is about 416.2975096899.

The spelling of 72145864 in words is "seventy-two million, one hundred forty-five thousand, eight hundred sixty-four".