72371107131300 has 108 divisors (see below), whose sum is σ = 240186933247716. Its totient is φ = 18163728844800.

The previous prime is 72371107131289. The next prime is 72371107131319. The reversal of 72371107131300 is 313170117327.

72371107131300 is a `hidden beast` number, since 7 + 237 + 1 + 107 + 1 + 313 + 0 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 9797438367396 + 62573668763904 = 3130086^2 + 7910352^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2365053561 + ... + 2365084160.

It is an arithmetic number, because the mean of its divisors is an integer number (2223953085627).

Almost surely, 2^{72371107131300} is an apocalyptic number.

It is an amenable number.

72371107131300 is an abundant number, since it is smaller than the sum of its proper divisors (167815826116416).

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

72371107131300 is a wasteful number, since it uses less digits than its factorization.

72371107131300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4730137758 (or 4730137748 counting only the distinct ones).

The product of its (nonzero) digits is 18522, while the sum is 36.

Adding to 72371107131300 its reverse (313170117327), we get a palindrome (72684277248627).

The spelling of 72371107131300 in words is "seventy-two trillion, three hundred seventy-one billion, one hundred seven million, one hundred thirty-one thousand, three hundred".