218372 has 24 divisors (see below), whose sum is σ = 477120. Its totient is φ = 84960.

The previous prime is 218371. The next prime is 218381. The reversal of 218372 is 273812.

It is not an unprimeable number, because it can be changed into a prime (218371) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 47 + ... + 662.

It is an arithmetic number, because the mean of its divisors is an integer number (19880).

2²¹⁸³⁷² is an apocalyptic number.

218372 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

218372 is an abundant number, since it is smaller than the sum of its proper divisors (258748).

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

218372 is a wasteful number, since it uses less digits than its factorization.

218372 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 731 (or 729 counting only the distinct ones).

The product of its digits is 672, while the sum is 23.

The square root of 218372 is about 467.3028996272. The cubic root of 218372 is about 60.2188305459.

The spelling of 218372 in words is "two hundred eighteen thousand, three hundred seventy-two".