72664410728 has 64 divisors (see below), whose sum is σ = 170436174720. Its totient is φ = 28275091200.

The previous prime is 72664410691. The next prime is 72664410739. The reversal of 72664410728 is 82701446627.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 773738 + ... + 862553.

It is an arithmetic number, because the mean of its divisors is an integer number (2663065230).

Almost surely, 2^72664410728 is an apocalyptic number.

It is an amenable number.

72664410728 is an abundant number, since it is smaller than the sum of its proper divisors (97771763992).

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

72664410728 is a wasteful number, since it uses less digits than its factorization.

72664410728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1636378 (or 1636374 counting only the distinct ones).

The product of its (nonzero) digits is 903168, while the sum is 47.

The spelling of 72664410728 in words is "seventy-two billion, six hundred sixty-four million, four hundred ten thousand, seven hundred twenty-eight".