72864408 has 32 divisors (see below), whose sum is σ = 182937600. Its totient is φ = 24184608.

The previous prime is 72864401. The next prime is 72864461. The reversal of 72864408 is 80446827.

72864408 is nontrivially palindromic in base 7.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72864401) by changing a digit.

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, 616 + ... + 12087.

It is an arithmetic number, because the mean of its divisors is an integer number (5716800).

Almost surely, 2^72864408 is an apocalyptic number.

It is an amenable number.

72864408 is an abundant number, since it is smaller than the sum of its proper divisors (110073192).

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

72864408 is a wasteful number, since it uses less digits than its factorization.

72864408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12951 (or 12947 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 39.

The square root of 72864408 is about 8536.0651356465. The cubic root of 72864408 is about 417.6749990075.

The spelling of 72864408 in words is "seventy-two million, eight hundred sixty-four thousand, four hundred eight".