218772 has 36 divisors (see below), whose sum is σ = 567840. Its totient is φ = 70992.

The previous prime is 218761. The next prime is 218783. The reversal of 218772 is 277812.

218772 is nontrivially palindromic in base 5.

218772 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (218761) and next prime (218783).

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×218772² = 95722375968, which contains 22 as substring.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 218772.

It is an unprimeable number.

218772 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2073 + ... + 2175.

2²¹⁸⁷⁷² 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 218772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283920).

218772 is an abundant number, since it is smaller than the sum of its proper divisors (349068).

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

218772 is a wasteful number, since it uses less digits than its factorization.

218772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172 (or 167 counting only the distinct ones).

The product of its digits is 1568, while the sum is 27.

The square root of 218772 is about 467.7306917447. The cubic root of 218772 is about 60.2555764654.

It can be divided in two parts, 2187 and 72, that multiplied together give a cube (157464 = 54³).

The spelling of 218772 in words is "two hundred eighteen thousand, seven hundred seventy-two".