72017822385152 has 66 divisors (see below), whose sum is σ = 167469856184862. Its totient is φ = 30864781000704.

The previous prime is 72017822385127. The next prime is 72017822385167. The reversal of 72017822385152 is 25158322871027.

It can be written as a sum of positive squares in only one way, i.e., 53902379646976 + 18115442738176 = 7341824^2 + 4256224^2 .

It is a junction number, because it is equal to n+sod(n) for n = 72017822385094 and 72017822385103.

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, 717601913 + ... + 717702264.

It is an arithmetic number, because the mean of its divisors is an integer number (2537422063407).

Almost surely, 2^{72017822385152} is an apocalyptic number.

It is an amenable number.

72017822385152 is an abundant number, since it is smaller than the sum of its proper divisors (95452033799710).

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

72017822385152 is a wasteful number, since it uses less digits than its factorization.

72017822385152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1435304211 (or 1435304186 counting only the distinct ones).

The product of its (nonzero) digits is 3763200, while the sum is 53.

The spelling of 72017822385152 in words is "seventy-two trillion, seventeen billion, eight hundred twenty-two million, three hundred eighty-five thousand, one hundred fifty-two".