72730862800 has 30 divisors (see below), whose sum is σ = 174735898838. Its totient is φ = 29092344960.

The previous prime is 72730862749. The next prime is 72730862861. The reversal of 72730862800 is 826803727.

It can be written as a sum of positive squares in 3 ways, for example, as 70425664 + 72660437136 = 8392^2 + 269556^2 .

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 5 ways as a sum of consecutive naturals, for example, 90913179 + ... + 90913978.

Almost surely, 2^72730862800 is an apocalyptic number.

It is an amenable number.

72730862800 is an abundant number, since it is smaller than the sum of its proper divisors (102005036038).

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

72730862800 is a wasteful number, since it uses less digits than its factorization.

72730862800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181827175 (or 181827164 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 43.

The spelling of 72730862800 in words is "seventy-two billion, seven hundred thirty million, eight hundred sixty-two thousand, eight hundred".