72175121568 has 432 divisors, whose sum is σ = 236411675136. Its totient is φ = 20845440000.

The previous prime is 72175121519. The next prime is 72175121587. The reversal of 72175121568 is 86512157127.

72175121568 is a `hidden beast` number, since 7 + 2 + 1 + 75 + 12 + 1 + 568 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 76699978 + ... + 76700918.

It is an arithmetic number, because the mean of its divisors is an integer number (547249248).

Almost surely, 2^72175121568 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72175121568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118205837568).

72175121568 is an abundant number, since it is smaller than the sum of its proper divisors (164236553568).

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

72175121568 is a wasteful number, since it uses less digits than its factorization.

72175121568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1081 (or 1059 counting only the distinct ones).

The product of its digits is 235200, while the sum is 45.

The spelling of 72175121568 in words is "seventy-two billion, one hundred seventy-five million, one hundred twenty-one thousand, five hundred sixty-eight".