72737632 has 24 divisors (see below), whose sum is σ = 156221352. Its totient is φ = 33062400.

The previous prime is 72737603. The next prime is 72737633. The reversal of 72737632 is 23673727.

It is a junction number, because it is equal to n+sod(n) for n = 72737591 and 72737600.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72737633) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 102969 + ... + 103672.

It is an arithmetic number, because the mean of its divisors is an integer number (6509223).

Almost surely, 2^72737632 is an apocalyptic number.

It is an amenable number.

72737632 is an abundant number, since it is smaller than the sum of its proper divisors (83483720).

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

72737632 is a wasteful number, since it uses less digits than its factorization.

72737632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206662 (or 206654 counting only the distinct ones).

The product of its digits is 74088, while the sum is 37.

The square root of 72737632 is about 8528.6359987984. The cubic root of 72737632 is about 417.4326223037.

The spelling of 72737632 in words is "seventy-two million, seven hundred thirty-seven thousand, six hundred thirty-two".