72636 has 12 divisors (see below), whose sum is σ = 169512. Its totient is φ = 24208.

The previous prime is 72623. The next prime is 72643. The reversal of 72636 is 63627.

It is a tau number, because it is divible by the number of its divisors (12).

It is a plaindrome in base 16.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3015 + ... + 3038.

It is an arithmetic number, because the mean of its divisors is an integer number (14126).

2⁷²⁶³⁶ is an apocalyptic number.

It is an amenable number.

72636 is an abundant number, since it is smaller than the sum of its proper divisors (96876).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84756).

72636 is a wasteful number, since it uses less digits than its factorization.

72636 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6060 (or 6058 counting only the distinct ones).

The product of its digits is 1512, while the sum is 24.

The square root of 72636 is about 269.5106676924. The cubic root of 72636 is about 41.7238113695.

Subtracting from 72636 its reverse (63627), we obtain a palindrome (9009).

The spelling of 72636 in words is "seventy-two thousand, six hundred thirty-six".