18732 has 24 divisors (see below), whose sum is σ = 50176. Its totient is φ = 5328.

The previous prime is 18731. The next prime is 18743. The reversal of 18732 is 23781.

It is a Smith number, since the sum of its digits (21) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a nialpdrome in base 12.

It is a junction number, because it is equal to n+sod(n) for n = 18699 and 18708.

It is not an unprimeable number, because it can be changed into a prime (18731) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 28 + ... + 195.

2¹⁸⁷³² is an apocalyptic number.

18732 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18732, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25088).

18732 is an abundant number, since it is smaller than the sum of its proper divisors (31444).

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

18732 is a wasteful number, since it uses less digits than its factorization.

18732 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 237 (or 235 counting only the distinct ones).

The product of its digits is 336, while the sum is 21.

The square root of 18732 is about 136.8648968874. The cubic root of 18732 is about 26.5579602392.

The spelling of 18732 in words is "eighteen thousand, seven hundred thirty-two".