72936 has 24 divisors (see below), whose sum is σ = 197730. Its totient is φ = 24288.

The previous prime is 72931. The next prime is 72937. The reversal of 72936 is 63927.

It can be written as a sum of positive squares in only one way, i.e., 72900 + 36 = 270^2 + 6^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is not an unprimeable number, because it can be changed into a prime (72931) by changing a digit.

72936 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 5 ways as a sum of consecutive naturals, for example, 435 + ... + 578.

2⁷²⁹³⁶ is an apocalyptic number.

It is an amenable number.

72936 is an abundant number, since it is smaller than the sum of its proper divisors (124794).

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

72936 is a wasteful number, since it uses less digits than its factorization.

72936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1025 (or 1018 counting only the distinct ones).

The product of its digits is 2268, while the sum is 27.

The square root of 72936 is about 270.0666584382. The cubic root of 72936 is about 41.7811747988.

Subtracting from 72936 its reverse (63927), we obtain a palindrome (9009).

It can be divided in two parts, 729 and 36, that multiplied together give a square (26244 = 162²).

The spelling of 72936 in words is "seventy-two thousand, nine hundred thirty-six".