72117200466 has 24 divisors (see below), whose sum is σ = 156279334224. Its totient is φ = 24035159160.

The previous prime is 72117200459. The next prime is 72117200497. The reversal of 72117200466 is 66400271127.

72117200466 is a `hidden beast` number, since 7 + 21 + 172 + 0 + 0 + 466 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 72117200466.

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, 210736 + ... + 434331.

It is an arithmetic number, because the mean of its divisors is an integer number (6511638926).

Almost surely, 2^72117200466 is an apocalyptic number.

72117200466 is an abundant number, since it is smaller than the sum of its proper divisors (84162133758).

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

72117200466 is a wasteful number, since it uses less digits than its factorization.

72117200466 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 651286 (or 651283 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The spelling of 72117200466 in words is "seventy-two billion, one hundred seventeen million, two hundred thousand, four hundred sixty-six".