72522086400 has 1008 divisors, whose sum is σ = 283051805400. Its totient is φ = 18393661440.

The previous prime is 72522086383. The next prime is 72522086437. The reversal of 72522086400 is 468022527.

72522086400 is a `hidden beast` number, since 7 + 2 + 5 + 2 + 2 + 0 + 8 + 640 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 1082419167 + ... + 1082419233.

Almost surely, 2^72522086400 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 72522086400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141525902700).

72522086400 is an abundant number, since it is smaller than the sum of its proper divisors (210529719000).

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

72522086400 is an equidigital number, since it uses as much as digits as its factorization.

72522086400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The spelling of 72522086400 in words is "seventy-two billion, five hundred twenty-two million, eighty-six thousand, four hundred".