12732 has 12 divisors (see below), whose sum is σ = 29736. Its totient is φ = 4240.

The previous prime is 12721. The next prime is 12739. The reversal of 12732 is 23721.

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

It is a Smith number, since the sum of its digits (15) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12739) by changing a digit.

12732 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, 519 + ... + 542.

It is an arithmetic number, because the mean of its divisors is an integer number (2478).

2¹²⁷³² is an apocalyptic number.

12732 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12732 is an abundant number, since it is smaller than the sum of its proper divisors (17004).

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 (14868).

12732 is a wasteful number, since it uses less digits than its factorization.

12732 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1068 (or 1066 counting only the distinct ones).

The product of its digits is 84, while the sum is 15.

The square root of 12732 is about 112.8361644155. The cubic root of 12732 is about 23.3506447495.

It can be divided in two parts, 1273 and 2, that added together give a triangular number (1275 = T₅₀).

The spelling of 12732 in words is "twelve thousand, seven hundred thirty-two".