72664176 has 160 divisors (see below), whose sum is σ = 216986112. Its totient is φ = 20782080.

The previous prime is 72664157. The next prime is 72664181. The reversal of 72664176 is 67146627.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 875431 + ... + 875513.

Almost surely, 2^72664176 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 72664176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108493056).

72664176 is an abundant number, since it is smaller than the sum of its proper divisors (144321936).

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

72664176 is a wasteful number, since it uses less digits than its factorization.

72664176 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191 (or 185 counting only the distinct ones).

The product of its digits is 84672, while the sum is 39.

The square root of 72664176 is about 8524.3284779506. The cubic root of 72664176 is about 417.2920565581.

The spelling of 72664176 in words is "seventy-two million, six hundred sixty-four thousand, one hundred seventy-six".