72052504864 has 96 divisors (see below), whose sum is σ = 148578978240. Its totient is φ = 34365606912.

The previous prime is 72052504859. The next prime is 72052504877. The reversal of 72052504864 is 46840525027.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (43).

It is a self number, because there is not a number n which added to its sum of digits gives 72052504864.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12743062 + ... + 12748714.

It is an arithmetic number, because the mean of its divisors is an integer number (1547697690).

Almost surely, 2^72052504864 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72052504864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74289489120).

72052504864 is an abundant number, since it is smaller than the sum of its proper divisors (76526473376).

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

72052504864 is a wasteful number, since it uses less digits than its factorization.

72052504864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5922 (or 5914 counting only the distinct ones).

The product of its (nonzero) digits is 537600, while the sum is 43.

The spelling of 72052504864 in words is "seventy-two billion, fifty-two million, five hundred four thousand, eight hundred sixty-four".