18472 has 8 divisors (see below), whose sum is σ = 34650. Its totient is φ = 9232.

The previous prime is 18461. The next prime is 18481. The reversal of 18472 is 27481.

It can be written as a sum of positive squares in only one way, i.e., 12996 + 5476 = 114^2 + 74^2 .

It is a tau number, because it is divible by the number of its divisors (8).

It is a d-powerful number, because it can be written as 1 + 8³ + 4⁵ + 7⁵ + 2⁷ .

It is a zygodrome in base 3.

It is an unprimeable number.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1147 + ... + 1162.

2¹⁸⁴⁷² is an apocalyptic number.

It is an amenable number.

18472 is a deficient number, since it is larger than the sum of its proper divisors (16178).

18472 is a wasteful number, since it uses less digits than its factorization.

18472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2315 (or 2311 counting only the distinct ones).

The product of its digits is 448, while the sum is 22.

The square root of 18472 is about 135.9117360643. The cubic root of 18472 is about 26.4345125605.

Subtracting 18472 from its reverse (27481), we obtain a palindrome (9009).

It can be divided in two parts, 1847 and 2, that added together give a square (1849 = 43²).

The spelling of 18472 in words is "eighteen thousand, four hundred seventy-two".