72679160736 has 384 divisors, whose sum is σ = 269324697600. Its totient is φ = 18549181440.

The previous prime is 72679160713. The next prime is 72679160747. The reversal of 72679160736 is 63706197627.

72679160736 is a `hidden beast` number, since 7 + 26 + 7 + 9 + 1 + 607 + 3 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 63 ways as a sum of consecutive naturals, for example, 2422435 + ... + 2452253.

It is an arithmetic number, because the mean of its divisors is an integer number (701366400).

Almost surely, 2^72679160736 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72679160736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134662348800).

72679160736 is an abundant number, since it is smaller than the sum of its proper divisors (196645536864).

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

72679160736 is a wasteful number, since it uses less digits than its factorization.

72679160736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29889 (or 29875 counting only the distinct ones).

The product of its (nonzero) digits is 4000752, while the sum is 54.

The spelling of 72679160736 in words is "seventy-two billion, six hundred seventy-nine million, one hundred sixty thousand, seven hundred thirty-six".