72664128 has 140 divisors (see below), whose sum is σ = 219071952. Its totient is φ = 23811840.

The previous prime is 72664073. The next prime is 72664133. The reversal of 72664128 is 82146627.

72664128 is a `hidden beast` number, since 7 + 2 + 6 + 641 + 2 + 8 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 72664092 and 72664101.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 554623 + ... + 554753.

Almost surely, 2^72664128 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 72664128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109535976).

72664128 is an abundant number, since it is smaller than the sum of its proper divisors (146407824).

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

72664128 is a wasteful number, since it uses less digits than its factorization.

72664128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 262 (or 243 counting only the distinct ones).

The product of its digits is 32256, while the sum is 36.

The square root of 72664128 is about 8524.3256624791. The cubic root of 72664128 is about 417.2919646741.

The spelling of 72664128 in words is "seventy-two million, six hundred sixty-four thousand, one hundred twenty-eight".