18672 has 20 divisors (see below), whose sum is σ = 48360. Its totient is φ = 6208.

The previous prime is 18671. The next prime is 18679. The reversal of 18672 is 27681.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nialpdrome in base 12 and base 13.

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 18672.

It is not an unprimeable number, because it can be changed into a prime (18671) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 147 + ... + 242.

It is an arithmetic number, because the mean of its divisors is an integer number (2418).

2¹⁸⁶⁷² is an apocalyptic number.

18672 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

18672 is an abundant number, since it is smaller than the sum of its proper divisors (29688).

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 (24180).

18672 is a wasteful number, since it uses less digits than its factorization.

18672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 400 (or 394 counting only the distinct ones).

The product of its digits is 672, while the sum is 24.

The square root of 18672 is about 136.6455268203. The cubic root of 18672 is about 26.5295741976.

Subtracting 18672 from its reverse (27681), we obtain a palindrome (9009).

The spelling of 18672 in words is "eighteen thousand, six hundred seventy-two".