72453565584 has 75 divisors (see below), whose sum is σ = 209729689257. Its totient is φ = 24147958464.

The previous prime is 72453565549. The next prime is 72453565619. The reversal of 72453565584 is 48556535427.

The square root of 72453565584 is 269172.

It is a perfect power (a square), and thus also a powerful number.

72453565584 is a `hidden beast` number, since 7 + 2 + 4 + 5 + 3 + 56 + 5 + 584 = 666.

It is an interprime number because it is at equal distance from previous prime (72453565549) and next prime (72453565619).

It can be written as a sum of positive squares in only one way, i.e., 69347955600 + 3105609984 = 263340^2 + 55728^2 .

It is a super-2 number, since 2×72453565584² (a number of 23 digits) contains 22 as substring.

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 72453565584.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 9686454 + ... + 9693930.

Almost surely, 2^72453565584 is an apocalyptic number.

72453565584 is the 269172-nd square number.

It is an amenable number.

72453565584 is an abundant number, since it is smaller than the sum of its proper divisors (137276123673).

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

72453565584 is an frugal number, since it uses more digits than its factorization.

72453565584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14974 (or 7482 counting only the distinct ones).

The product of its digits is 20160000, while the sum is 54.

The spelling of 72453565584 in words is "seventy-two billion, four hundred fifty-three million, five hundred sixty-five thousand, five hundred eighty-four".