72357732 has 48 divisors (see below), whose sum is σ = 189555520. Its totient is φ = 23867136.

The previous prime is 72357721. The next prime is 72357737. The reversal of 72357732 is 23775327.

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

It is not an unprimeable number, because it can be changed into a prime (72357737) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7023 + ... + 13929.

Almost surely, 2^72357732 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 72357732, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94777760).

72357732 is an abundant number, since it is smaller than the sum of its proper divisors (117197788).

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

72357732 is a wasteful number, since it uses less digits than its factorization.

72357732 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7017 (or 7009 counting only the distinct ones).

The product of its digits is 61740, while the sum is 36.

The square root of 72357732 is about 8506.3348158887. The cubic root of 72357732 is about 416.7046197606.

The spelling of 72357732 in words is "seventy-two million, three hundred fifty-seven thousand, seven hundred thirty-two".