72175680400 has 60 divisors (see below), whose sum is σ = 173496452932. Its totient is φ = 28854558720.

The previous prime is 72175680373. The next prime is 72175680433. The reversal of 72175680400 is 408657127.

It can be written as a sum of positive squares in 6 ways, for example, as 17427168144 + 54748512256 = 132012^2 + 233984^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 701032 + ... + 797368.

Almost surely, 2^72175680400 is an apocalyptic number.

It is an amenable number.

72175680400 is an abundant number, since it is smaller than the sum of its proper divisors (101320772532).

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

72175680400 is a wasteful number, since it uses less digits than its factorization.

72175680400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98228 (or 98217 counting only the distinct ones).

The product of its (nonzero) digits is 94080, while the sum is 40.

The spelling of 72175680400 in words is "seventy-two billion, one hundred seventy-five million, six hundred eighty thousand, four hundred".