18872 has 16 divisors (see below), whose sum is σ = 40560. Its totient is φ = 8064.

The previous prime is 18869. The next prime is 18899. The reversal of 18872 is 27881.

18872 is an esthetic number in base 13, because in such base its adjacent digits differ by 1.

It is a Smith number, since the sum of its digits (26) coincides with the sum of the digits of its prime factors.

It is a nude number because it is divisible by every one of its digits.

It is a d-powerful number, because it can be written as 1 + 8 + 8 + 7⁵ + 2¹¹ .

It is a plaindrome in base 9.

It is a congruent number.

It is an unprimeable 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, 113 + ... + 224.

It is an arithmetic number, because the mean of its divisors is an integer number (2535).

2¹⁸⁸⁷² is an apocalyptic number.

It is an amenable number.

18872 is an abundant number, since it is smaller than the sum of its proper divisors (21688).

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 (20280).

18872 is a wasteful number, since it uses less digits than its factorization.

18872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 350 (or 346 counting only the distinct ones).

The product of its digits is 896, while the sum is 26.

The square root of 18872 is about 137.3753980886. The cubic root of 18872 is about 26.6239594177.

Subtracting 18872 from its reverse (27881), we obtain a palindrome (9009).

The spelling of 18872 in words is "eighteen thousand, eight hundred seventy-two".