72335462400 has 1248 divisors, whose sum is σ = 299829916800. Its totient is φ = 17199267840.

The previous prime is 72335462233. The next prime is 72335462447. The reversal of 72335462400 is 426453327.

72335462400 is a `hidden beast` number, since 7 + 23 + 3 + 5 + 4 + 624 + 0 + 0 = 666.

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

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 95 ways as a sum of consecutive naturals, for example, 3807129591 + ... + 3807129609.

Almost surely, 2^72335462400 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 72335462400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149914958400).

72335462400 is an abundant number, since it is smaller than the sum of its proper divisors (227494454400).

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

72335462400 is an equidigital number, since it uses as much as digits as its factorization.

72335462400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 36.

The spelling of 72335462400 in words is "seventy-two billion, three hundred thirty-five million, four hundred sixty-two thousand, four hundred".