218472 has 16 divisors (see below), whose sum is σ = 546240. Its totient is φ = 72816.

The previous prime is 218461. The next prime is 218479. The reversal of 218472 is 274812.

218472 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24), and also a Moran number because the ratio is a prime number: 9103 = 218472 / (2 + 1 + 8 + 4 + 7 + 2).

It is a plaindrome in base 16.

It is a nialpdrome in base 12.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 218472.

It is not an unprimeable number, because it can be changed into a prime (218479) 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, 4528 + ... + 4575.

It is an arithmetic number, because the mean of its divisors is an integer number (34140).

2²¹⁸⁴⁷² is an apocalyptic number.

It is an amenable number.

218472 is an abundant number, since it is smaller than the sum of its proper divisors (327768).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

218472 is a wasteful number, since it uses less digits than its factorization.

218472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9112 (or 9108 counting only the distinct ones).

The product of its digits is 896, while the sum is 24.

The square root of 218472 is about 467.4098843628. The cubic root of 218472 is about 60.2280212298.

The spelling of 218472 in words is "two hundred eighteen thousand, four hundred seventy-two".