72747057600 has 252 divisors, whose sum is σ = 295497802704. Its totient is φ = 16627875840.

The previous prime is 72747057599. The next prime is 72747057637. The reversal of 72747057600 is 675074727.

72747057600 is a `hidden beast` number, since 7 + 2 + 7 + 4 + 70 + 576 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (252).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 260049 + ... + 461648.

Almost surely, 2^72747057600 is an apocalyptic number.

72747057600 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

72747057600 is an abundant number, since it is smaller than the sum of its proper divisors (222750745104).

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

72747057600 is a wasteful number, since it uses less digits than its factorization.

72747057600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 721732 (or 721714 counting only the distinct ones).

The product of its (nonzero) digits is 576240, while the sum is 45.

The spelling of 72747057600 in words is "seventy-two billion, seven hundred forty-seven million, fifty-seven thousand, six hundred".