72728137764 has 36 divisors (see below), whose sum is σ = 190649483024. Its totient is φ = 24242712264.

The previous prime is 72728137747. The next prime is 72728137831. The reversal of 72728137764 is 46773182727.

72728137764 is a `hidden beast` number, since 72 + 72 + 81 + 377 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 72728137764.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 37410622 + ... + 37412565.

Almost surely, 2^72728137764 is an apocalyptic number.

It is an amenable number.

72728137764 is an abundant number, since it is smaller than the sum of its proper divisors (117921345260).

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

72728137764 is a wasteful number, since it uses less digits than its factorization.

72728137764 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74823206 (or 74823192 counting only the distinct ones).

The product of its digits is 5531904, while the sum is 54.

The spelling of 72728137764 in words is "seventy-two billion, seven hundred twenty-eight million, one hundred thirty-seven thousand, seven hundred sixty-four".