72182256552 has 96 divisors (see below), whose sum is σ = 225126982080. Its totient is φ = 20466051840.

The previous prime is 72182256529. The next prime is 72182256577. The reversal of 72182256552 is 25565228127.

72182256552 is a `hidden beast` number, since 7 + 2 + 1 + 82 + 2 + 565 + 5 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 72182256498 and 72182256507.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 480613 + ... + 612660.

It is an arithmetic number, because the mean of its divisors is an integer number (2345072730).

Almost surely, 2^72182256552 is an apocalyptic number.

72182256552 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

72182256552 is an abundant number, since it is smaller than the sum of its proper divisors (152944725528).

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

72182256552 is a wasteful number, since it uses less digits than its factorization.

72182256552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1093423 (or 1093416 counting only the distinct ones).

The product of its digits is 672000, while the sum is 45.

The spelling of 72182256552 in words is "seventy-two billion, one hundred eighty-two million, two hundred fifty-six thousand, five hundred fifty-two".