218272 has 24 divisors (see below), whose sum is σ = 453600. Its totient is φ = 103104.

The previous prime is 218249. The next prime is 218279. The reversal of 218272 is 272812.

It is not an unprimeable number, because it can be changed into a prime (218279) 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 3 ways as a sum of consecutive naturals, for example, 429 + ... + 787.

It is an arithmetic number, because the mean of its divisors is an integer number (18900).

2²¹⁸²⁷² is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 218272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226800).

218272 is an abundant number, since it is smaller than the sum of its proper divisors (235328).

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

218272 is a wasteful number, since it uses less digits than its factorization.

218272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 388 (or 380 counting only the distinct ones).

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

The square root of 218272 is about 467.1958903929. The cubic root of 218272 is about 60.2096370557.

The spelling of 218272 in words is "two hundred eighteen thousand, two hundred seventy-two".