72578570446100 has 36 divisors (see below), whose sum is σ = 166759938923004. Its totient is φ = 27323697108480.

The previous prime is 72578570446093. The next prime is 72578570446139. The reversal of 72578570446100 is 164407587527.

It can be written as a sum of positive squares in 6 ways, for example, as 1107575227396 + 71470995218704 = 1052414^2 + 8454052^2 .

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 21346636667 + ... + 21346640066.

It is an arithmetic number, because the mean of its divisors is an integer number (4632220525639).

Almost surely, 2^{72578570446100} is an apocalyptic number.

It is an amenable number.

72578570446100 is an abundant number, since it is smaller than the sum of its proper divisors (94181368476904).

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

72578570446100 is a wasteful number, since it uses less digits than its factorization.

72578570446100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42693276764 (or 42693276757 counting only the distinct ones).

The product of its (nonzero) digits is 13171200, while the sum is 56.

The spelling of 72578570446100 in words is "seventy-two trillion, five hundred seventy-eight billion, five hundred seventy million, four hundred forty-six thousand, one hundred".