72522369000000 has 294 divisors, whose sum is σ = 259837051816602. Its totient is φ = 19339296000000.

The previous prime is 72522368999989. The next prime is 72522369000007. The reversal of 72522369000000 is 96322527.

72522369000000 is a `hidden beast` number, since 72 + 522 + 3 + 69 + 0 + 0 + 0 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 7 ways, for example, as 70092661202496 + 2429707797504 = 8372136^2 + 1558752^2 .

It is a super-2 number, since 2×72522369000000² (a number of 29 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (72522369000007) by changing a digit.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 4970980 + ... + 13029020.

Almost surely, 2^{72522369000000} 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 72522369000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129918525908301).

72522369000000 is an abundant number, since it is smaller than the sum of its proper divisors (187314682816602).

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

72522369000000 is an frugal number, since it uses more digits than its factorization.

72522369000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8058089 (or 8058051 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The spelling of 72522369000000 in words is "seventy-two trillion, five hundred twenty-two billion, three hundred sixty-nine million", and thus it is an aban number.