72064656 has 60 divisors (see below), whose sum is σ = 202804108. Its totient is φ = 23887872.

The previous prime is 72064639. The next prime is 72064673. The reversal of 72064656 is 65646027.

72064656 is a `hidden beast` number, since 7 + 2 + 0 + 646 + 5 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (72064639) and next prime (72064673).

It can be written as a sum of positive squares in 2 ways, for example, as 30074256 + 41990400 = 5484^2 + 6480^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 72064656.

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, 26496 + ... + 29088.

Almost surely, 2^72064656 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 72064656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101402054).

72064656 is an abundant number, since it is smaller than the sum of its proper divisors (130739452).

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

72064656 is a wasteful number, since it uses less digits than its factorization.

72064656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2800 (or 2791 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 72064656 is about 8489.0904106388. The cubic root of 72064656 is about 416.1412550386.

The spelling of 72064656 in words is "seventy-two million, sixty-four thousand, six hundred fifty-six".