72379010875392 has 512 divisors, whose sum is σ = 238400601600000. Its totient is φ = 21551956623360.

The previous prime is 72379010875373. The next prime is 72379010875397. The reversal of 72379010875392 is 29357801097327.

72379010875392 is a `hidden beast` number, since 7 + 2 + 3 + 7 + 9 + 0 + 10 + 87 + 539 + 2 = 666.

72379010875392 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (512).

It is a super-2 number, since 2×72379010875392² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72379010875397) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 356447109 + ... + 356650107.

It is an arithmetic number, because the mean of its divisors is an integer number (465626175000).

Almost surely, 2^{72379010875392} is an apocalyptic number.

72379010875392 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72379010875392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119200300800000).

72379010875392 is an abundant number, since it is smaller than the sum of its proper divisors (166021590724608).

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

72379010875392 is a wasteful number, since it uses less digits than its factorization.

72379010875392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203082 (or 203048 counting only the distinct ones).

The product of its (nonzero) digits is 40007520, while the sum is 63.

The spelling of 72379010875392 in words is "seventy-two trillion, three hundred seventy-nine billion, ten million, eight hundred seventy-five thousand, three hundred ninety-two".