72679279932000 has 288 divisors, whose sum is σ = 294787160426304. Its totient is φ = 16612406784000.

The previous prime is 72679279931981. The next prime is 72679279932013. The reversal of 72679279932000 is 23997297627.

72679279932000 is a `hidden beast` number, since 7 + 2 + 6 + 79 + 279 + 93 + 200 + 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 (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 143952921 + ... + 144456920.

It is an arithmetic number, because the mean of its divisors is an integer number (1023566529258).

Almost surely, 2^{72679279932000} is an apocalyptic number.

72679279932000 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

72679279932000 is an abundant number, since it is smaller than the sum of its proper divisors (222107880494304).

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

72679279932000 is a wasteful number, since it uses less digits than its factorization.

72679279932000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 288409879 (or 288409858 counting only the distinct ones).

The product of its (nonzero) digits is 36006768, while the sum is 63.

The spelling of 72679279932000 in words is "seventy-two trillion, six hundred seventy-nine billion, two hundred seventy-nine million, nine hundred thirty-two thousand".