72634680 has 96 divisors (see below), whose sum is σ = 238820400. Its totient is φ = 19143168.

The previous prime is 72634651. The next prime is 72634687. The reversal of 72634680 is 8643627.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72634687) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 30907 + ... + 33173.

Almost surely, 2^72634680 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 72634680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119410200).

72634680 is an abundant number, since it is smaller than the sum of its proper divisors (166185720).

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

72634680 is a wasteful number, since it uses less digits than its factorization.

72634680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2373 (or 2366 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 72634680 is about 8522.5981953862. The cubic root of 72634680 is about 417.2355862175.

The spelling of 72634680 in words is "seventy-two million, six hundred thirty-four thousand, six hundred eighty".