72499688560800 has 288 divisors, whose sum is σ = 277631161718400. Its totient is φ = 18196000174080.

The previous prime is 72499688560799. The next prime is 72499688560829. The reversal of 72499688560800 is 806588699427.

72499688560800 is a `hidden beast` number, since 7 + 2 + 4 + 9 + 9 + 6 + 8 + 8 + 5 + 608 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 98352420 + ... + 99086819.

It is an arithmetic number, because the mean of its divisors is an integer number (963997089300).

Almost surely, 2^{72499688560800} is an apocalyptic number.

It is an amenable number.

72499688560800 is an abundant number, since it is smaller than the sum of its proper divisors (205131473157600).

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

72499688560800 is a wasteful number, since it uses less digits than its factorization.

72499688560800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197439285 (or 197439266 counting only the distinct ones).

The product of its (nonzero) digits is 418037760, while the sum is 72.

The spelling of 72499688560800 in words is "seventy-two trillion, four hundred ninety-nine billion, six hundred eighty-eight million, five hundred sixty thousand, eight hundred".