72336 has 40 divisors (see below), whose sum is σ = 205344. Its totient is φ = 21760.

The previous prime is 72313. The next prime is 72337. The reversal of 72336 is 63327.

It is not an unprimeable number, because it can be changed into a prime (72337) by changing a digit.

72336 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 460 + ... + 596.

2⁷²³³⁶ 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 72336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102672).

72336 is an abundant number, since it is smaller than the sum of its proper divisors (133008).

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

72336 is a wasteful number, since it uses less digits than its factorization.

72336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159 (or 153 counting only the distinct ones).

The product of its digits is 756, while the sum is 21.

The square root of 72336 is about 268.9535275842. The cubic root of 72336 is about 41.6662897744. Note that the first 3 decimals are identical.

Subtracting from 72336 its reverse (63327), we obtain a palindrome (9009).

The spelling of 72336 in words is "seventy-two thousand, three hundred thirty-six".