27732 has 12 divisors (see below), whose sum is σ = 64736. Its totient is φ = 9240.

The previous prime is 27701. The next prime is 27733. The reversal of 27732 is 23772.

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

It is a nialpdrome in base 6.

It is a junction number, because it is equal to n+sod(n) for n = 27699 and 27708.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27733) by changing a digit.

27732 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1144 + ... + 1167.

2²⁷⁷³² is an apocalyptic number.

It is an amenable number.

27732 is an abundant number, since it is smaller than the sum of its proper divisors (37004).

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 (32368).

27732 is a wasteful number, since it uses less digits than its factorization.

27732 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2318 (or 2316 counting only the distinct ones).

The product of its digits is 588, while the sum is 21.

The square root of 27732 is about 166.5292767053. The cubic root of 27732 is about 30.2686973178.

It can be divided in two parts, 2773 and 2, that added together give a triangular number (2775 = T₇₄).

The spelling of 27732 in words is "twenty-seven thousand, seven hundred thirty-two".