72364877846325 has 192 divisors, whose sum is σ = 135447009408000. Its totient is φ = 37871590901760.

The previous prime is 72364877846299. The next prime is 72364877846333. The reversal of 72364877846325 is 52364877846327.

72364877846325 is a `hidden beast` number, since 7 + 2 + 3 + 6 + 487 + 7 + 84 + 63 + 2 + 5 = 666.

It is not a de Polignac number, because 72364877846325 - 2⁷ = 72364877846197 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 17111579311 + ... + 17111583539.

It is an arithmetic number, because the mean of its divisors is an integer number (705453174000).

Almost surely, 2^{72364877846325} is an apocalyptic number.

72364877846325 is a gapful number since it is divisible by the number (75) formed by its first and last digit.

It is an amenable number.

72364877846325 is a deficient number, since it is larger than the sum of its proper divisors (63082131561675).

72364877846325 is a wasteful number, since it uses less digits than its factorization.

72364877846325 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6013 (or 6002 counting only the distinct ones).

The product of its digits is 2275983360, while the sum is 72.

The spelling of 72364877846325 in words is "seventy-two trillion, three hundred sixty-four billion, eight hundred seventy-seven million, eight hundred forty-six thousand, three hundred twenty-five".