18272 has 12 divisors (see below), whose sum is σ = 36036. Its totient is φ = 9120.

The previous prime is 18269. The next prime is 18287. The reversal of 18272 is 27281.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 254 + ... + 317.

It is an arithmetic number, because the mean of its divisors is an integer number (3003).

2¹⁸²⁷² is an apocalyptic number.

It is an amenable number.

18272 is a deficient number, since it is larger than the sum of its proper divisors (17764).

18272 is an equidigital number, since it uses as much as digits as its factorization.

18272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 581 (or 573 counting only the distinct ones).

The product of its digits is 224, while the sum is 20.

The square root of 18272 is about 135.1739619897. The cubic root of 18272 is about 26.3387622555.

Adding to 18272 its product of digits (224), we get a square (18496 = 136²).

Subtracting 18272 from its reverse (27281), we obtain a palindrome (9009).

The spelling of 18272 in words is "eighteen thousand, two hundred seventy-two".