72117104166 has 32 divisors (see below), whose sum is σ = 169687306080. Its totient is φ = 22624973568.

The previous prime is 72117104153. The next prime is 72117104173. The reversal of 72117104166 is 66140171127.

72117104166 is a `hidden beast` number, since 72 + 1 + 171 + 0 + 416 + 6 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 72117104166.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 39278551 + ... + 39280386.

It is an arithmetic number, because the mean of its divisors is an integer number (5302728315).

Almost surely, 2^72117104166 is an apocalyptic number.

72117104166 is an abundant number, since it is smaller than the sum of its proper divisors (97570201914).

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

72117104166 is a wasteful number, since it uses less digits than its factorization.

72117104166 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78558965 (or 78558959 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 36.

The spelling of 72117104166 in words is "seventy-two billion, one hundred seventeen million, one hundred four thousand, one hundred sixty-six".