72631910400 has 408 divisors, whose sum is σ = 274607376384. Its totient is φ = 16593715200.

The previous prime is 72631910399. The next prime is 72631910431. The reversal of 72631910400 is 401913627.

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, 34405345 + ... + 34407455.

Almost surely, 2^72631910400 is an apocalyptic number.

72631910400 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72631910400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137303688192).

72631910400 is an abundant number, since it is smaller than the sum of its proper divisors (201975465984).

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

72631910400 is an equidigital number, since it uses as much as digits as its factorization.

72631910400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2163 (or 2128 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 33.

The spelling of 72631910400 in words is "seventy-two billion, six hundred thirty-one million, nine hundred ten thousand, four hundred".