36732 has 12 divisors (see below), whose sum is σ = 85736. Its totient is φ = 12240.

The previous prime is 36721. The next prime is 36739. The reversal of 36732 is 23763.

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

It is a junction number, because it is equal to n+sod(n) for n = 36699 and 36708.

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 36732.

It is not an unprimeable number, because it can be changed into a prime (36739) by changing a digit.

36732 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 3 ways as a sum of consecutive naturals, for example, 1519 + ... + 1542.

2³⁶⁷³² is an apocalyptic number.

It is an amenable number.

36732 is an abundant number, since it is smaller than the sum of its proper divisors (49004).

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 (42868).

36732 is a wasteful number, since it uses less digits than its factorization.

36732 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3068 (or 3066 counting only the distinct ones).

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

The square root of 36732 is about 191.6559417289. The cubic root of 36732 is about 33.2415698379.

The spelling of 36732 in words is "thirty-six thousand, seven hundred thirty-two".