18372 has 12 divisors (see below), whose sum is σ = 42896. Its totient is φ = 6120.

The previous prime is 18371. The next prime is 18379. The reversal of 18372 is 27381.

Added to its reverse (27381) it gives a triangular number (45753 = T₃₀₂).

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

It is a plaindrome in base 15.

It is a nialpdrome in base 12.

It is not an unprimeable number, because it can be changed into a prime (18371) by changing a digit.

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, 754 + ... + 777.

2¹⁸³⁷² is an apocalyptic number.

18372 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

18372 is an abundant number, since it is smaller than the sum of its proper divisors (24524).

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 (21448).

18372 is a wasteful number, since it uses less digits than its factorization.

18372 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1538 (or 1536 counting only the distinct ones).

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

The square root of 18372 is about 135.5433509989. The cubic root of 18372 is about 26.3867242710.

Adding to 18372 its reverse (27381), we get a triangular number (45753 = T₃₀₂).

Subtracting 18372 from its reverse (27381), we obtain a palindrome (9009).

The spelling of 18372 in words is "eighteen thousand, three hundred seventy-two".