72635166 has 24 divisors (see below), whose sum is σ = 157748760. Its totient is φ = 24154416.

The previous prime is 72635153. The next prime is 72635183. The reversal of 72635166 is 66153627.

72635166 is a `hidden beast` number, since 7 + 2 + 635 + 16 + 6 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 72635166.

It is a congruent number.

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, 3420 + ... + 12528.

It is an arithmetic number, because the mean of its divisors is an integer number (6572865).

Almost surely, 2^72635166 is an apocalyptic number.

72635166 is an abundant number, since it is smaller than the sum of its proper divisors (85113594).

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

72635166 is a wasteful number, since it uses less digits than its factorization.

72635166 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9560 (or 9557 counting only the distinct ones).

The product of its digits is 45360, while the sum is 36.

The square root of 72635166 is about 8522.6267077703. The cubic root of 72635166 is about 417.2365167925.

The spelling of 72635166 in words is "seventy-two million, six hundred thirty-five thousand, one hundred sixty-six".