72662057752662 has 96 divisors (see below), whose sum is σ = 182492858995200. Its totient is φ = 20464415233920.

The previous prime is 72662057752651. The next prime is 72662057752679. The reversal of 72662057752662 is 26625775026627.

72662057752662 is a `hidden beast` number, since 7 + 2 + 6 + 6 + 2 + 0 + 577 + 52 + 6 + 6 + 2 = 666.

72662057752662 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 72662057752662.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 48001453 + ... + 49492055.

It is an arithmetic number, because the mean of its divisors is an integer number (1900967281200).

Almost surely, 2^{72662057752662} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72662057752662, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91246429497600).

72662057752662 is an abundant number, since it is smaller than the sum of its proper divisors (109830801242538).

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

72662057752662 is a wasteful number, since it uses less digits than its factorization.

72662057752662 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1496138 (or 1496135 counting only the distinct ones).

The product of its (nonzero) digits is 177811200, while the sum is 63.

The spelling of 72662057752662 in words is "seventy-two trillion, six hundred sixty-two billion, fifty-seven million, seven hundred fifty-two thousand, six hundred sixty-two".