72370124400 has 120 divisors (see below), whose sum is σ = 264943609984. Its totient is φ = 16541740800.

The previous prime is 72370124383. The next prime is 72370124413. The reversal of 72370124400 is 442107327.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4299346 + ... + 4316145.

Almost surely, 2^72370124400 is an apocalyptic number.

72370124400 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

72370124400 is an abundant number, since it is smaller than the sum of its proper divisors (192573485584).

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

72370124400 is a wasteful number, since it uses less digits than its factorization.

72370124400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8615519 (or 8615508 counting only the distinct ones).

The product of its (nonzero) digits is 9408, while the sum is 30.

The spelling of 72370124400 in words is "seventy-two billion, three hundred seventy million, one hundred twenty-four thousand, four hundred".