72407139556752 has 360 divisors, whose sum is σ = 276933803852160. Its totient is φ = 17360352898560.

The previous prime is 72407139556709. The next prime is 72407139556757. The reversal of 72407139556752 is 25765593170427.

72407139556752 is a `hidden beast` number, since 7 + 2 + 4 + 0 + 7 + 1 + 3 + 9 + 556 + 75 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 72407139556752.

It is not an unprimeable number, because it can be changed into a prime (72407139556757) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 34871352 + ... + 36889367.

It is an arithmetic number, because the mean of its divisors is an integer number (769260566256).

Almost surely, 2^{72407139556752} is an apocalyptic number.

72407139556752 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

72407139556752 is an abundant number, since it is smaller than the sum of its proper divisors (204526664295408).

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

72407139556752 is a wasteful number, since it uses less digits than its factorization.

72407139556752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71760771 (or 71760755 counting only the distinct ones).

The product of its (nonzero) digits is 111132000, while the sum is 63.

The spelling of 72407139556752 in words is "seventy-two trillion, four hundred seven billion, one hundred thirty-nine million, five hundred fifty-six thousand, seven hundred fifty-two".