72337632 has 96 divisors (see below), whose sum is σ = 198696960. Its totient is φ = 23016960.

The previous prime is 72337631. The next prime is 72337649. The reversal of 72337632 is 23673327.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 72337593 and 72337602.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72337631) 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, 324273 + ... + 324495.

It is an arithmetic number, because the mean of its divisors is an integer number (2069760).

Almost surely, 2^72337632 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 72337632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99348480).

72337632 is an abundant number, since it is smaller than the sum of its proper divisors (126359328).

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

72337632 is a wasteful number, since it uses less digits than its factorization.

72337632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 376 (or 368 counting only the distinct ones).

The product of its digits is 31752, while the sum is 33.

The square root of 72337632 is about 8505.1532614057. The cubic root of 72337632 is about 416.6660312168. Note that the first 3 decimals are identical.

The spelling of 72337632 in words is "seventy-two million, three hundred thirty-seven thousand, six hundred thirty-two".