72634368 has 104 divisors (see below), whose sum is σ = 202874688. Its totient is φ = 23068672.

The previous prime is 72634363. The next prime is 72634381. The reversal of 72634368 is 86343627.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72634363) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 282496 + ... + 282752.

Almost surely, 2^72634368 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 72634368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101437344).

72634368 is an abundant number, since it is smaller than the sum of its proper divisors (130240320).

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

72634368 is a wasteful number, since it uses less digits than its factorization.

72634368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 307 (or 285 counting only the distinct ones).

The product of its digits is 145152, while the sum is 39.

The square root of 72634368 is about 8522.5798910893. The cubic root of 72634368 is about 417.2349888092.

The spelling of 72634368 in words is "seventy-two million, six hundred thirty-four thousand, three hundred sixty-eight".