72157632 has 84 divisors (see below), whose sum is σ = 196019928. Its totient is φ = 23424000.

The previous prime is 72157607. The next prime is 72157637. The reversal of 72157632 is 23675127.

It is a junction number, because it is equal to n+sod(n) for n = 72157593 and 72157602.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72157637) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 714382 + ... + 714482.

Almost surely, 2^72157632 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 72157632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98009964).

72157632 is an abundant number, since it is smaller than the sum of its proper divisors (123862296).

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

72157632 is a wasteful number, since it uses less digits than its factorization.

72157632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238 (or 167 counting only the distinct ones).

The product of its digits is 17640, while the sum is 33.

The square root of 72157632 is about 8494.5648505383. The cubic root of 72157632 is about 416.3201431091.

The spelling of 72157632 in words is "seventy-two million, one hundred fifty-seven thousand, six hundred thirty-two".