72657314704 has 40 divisors (see below), whose sum is σ = 151619045760. Its totient is φ = 33530437248.

The previous prime is 72657314687. The next prime is 72657314729. The reversal of 72657314704 is 40741375627.

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 7 ways as a sum of consecutive naturals, for example, 2992887 + ... + 3017065.

It is an arithmetic number, because the mean of its divisors is an integer number (3790476144).

Almost surely, 2^72657314704 is an apocalyptic number.

It is an amenable number.

72657314704 is an abundant number, since it is smaller than the sum of its proper divisors (78961731056).

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

72657314704 is a wasteful number, since it uses less digits than its factorization.

72657314704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38647 (or 38641 counting only the distinct ones).

The product of its (nonzero) digits is 987840, while the sum is 46.

The spelling of 72657314704 in words is "seventy-two billion, six hundred fifty-seven million, three hundred fourteen thousand, seven hundred four".