72536 has 8 divisors (see below), whose sum is σ = 136020. Its totient is φ = 36264.

The previous prime is 72533. The next prime is 72547. The reversal of 72536 is 63527.

It is a tau number, because it is divible by the number of its divisors (8).

It is a super-2 number, since 2×72536² = 10522942592, which contains 22 as substring.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 72536.

It is not an unprimeable number, because it can be changed into a prime (72533) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 4526 + ... + 4541.

2⁷²⁵³⁶ is an apocalyptic number.

It is an amenable number.

72536 is a deficient number, since it is larger than the sum of its proper divisors (63484).

72536 is a wasteful number, since it uses less digits than its factorization.

72536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9073 (or 9069 counting only the distinct ones).

The product of its digits is 1260, while the sum is 23.

The square root of 72536 is about 269.3250823819. The cubic root of 72536 is about 41.7046551323.

Subtracting from 72536 its reverse (63527), we obtain a palindrome (9009).

The spelling of 72536 in words is "seventy-two thousand, five hundred thirty-six".