72361710570312 has 128 divisors (see below), whose sum is σ = 220783251456000. Its totient is φ = 21857541837120.

The previous prime is 72361710570299. The next prime is 72361710570319. The reversal of 72361710570312 is 21307501716327.

72361710570312 is a `hidden beast` number, since 7 + 2 + 3 + 6 + 1 + 71 + 0 + 570 + 3 + 1 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (72361710570319) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 383209864 + ... + 383398647.

It is an arithmetic number, because the mean of its divisors is an integer number (1724869152000).

Almost surely, 2^{72361710570312} is an apocalyptic number.

72361710570312 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

72361710570312 is an abundant number, since it is smaller than the sum of its proper divisors (148421540885688).

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

72361710570312 is a wasteful number, since it uses less digits than its factorization.

72361710570312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 766608568 (or 766608558 counting only the distinct ones).

The product of its (nonzero) digits is 370440, while the sum is 45.

The spelling of 72361710570312 in words is "seventy-two trillion, three hundred sixty-one billion, seven hundred ten million, five hundred seventy thousand, three hundred twelve".