72688310784 has 60 divisors (see below), whose sum is σ = 209783399826. Its totient is φ = 24229435392.

The previous prime is 72688310759. The next prime is 72688310803. The reversal of 72688310784 is 48701388627.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 52841136384 + 19847174400 = 229872^2 + 140880^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 72688310784.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 7882579 + ... + 7891794.

Almost surely, 2^72688310784 is an apocalyptic number.

It is an amenable number.

72688310784 is an abundant number, since it is smaller than the sum of its proper divisors (137095089042).

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

72688310784 is a wasteful number, since it uses less digits than its factorization.

72688310784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15774397 (or 15774378 counting only the distinct ones).

The product of its (nonzero) digits is 3612672, while the sum is 54.

The spelling of 72688310784 in words is "seventy-two billion, six hundred eighty-eight million, three hundred ten thousand, seven hundred eighty-four".