72075884518900 has 72 divisors (see below), whose sum is σ = 160233596518464. Its totient is φ = 28124685254400.

The previous prime is 72075884518837. The next prime is 72075884518949. The reversal of 72075884518900 is 981548857027.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 45898119 + ... + 47442481.

It is an arithmetic number, because the mean of its divisors is an integer number (2225466618312).

Almost surely, 2^{72075884518900} is an apocalyptic number.

It is an amenable number.

72075884518900 is an abundant number, since it is smaller than the sum of its proper divisors (88157711999564).

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

72075884518900 is a wasteful number, since it uses less digits than its factorization.

72075884518900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1555801 (or 1555794 counting only the distinct ones).

The product of its (nonzero) digits is 45158400, while the sum is 64.

The spelling of 72075884518900 in words is "seventy-two trillion, seventy-five billion, eight hundred eighty-four million, five hundred eighteen thousand, nine hundred".