216872 has 8 divisors (see below), whose sum is σ = 406650. Its totient is φ = 108432.

The previous prime is 216859. The next prime is 216877. The reversal of 216872 is 278612.

216872 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 198916 + 17956 = 446^2 + 134^2 .

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

It is not an unprimeable number, because it can be changed into a prime (216877) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 13547 + ... + 13562.

2²¹⁶⁸⁷² is an apocalyptic number.

It is an amenable number.

216872 is a deficient number, since it is larger than the sum of its proper divisors (189778).

216872 is a wasteful number, since it uses less digits than its factorization.

216872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27115 (or 27111 counting only the distinct ones).

The product of its digits is 1344, while the sum is 26.

The square root of 216872 is about 465.6951792750. The cubic root of 216872 is about 60.0806323326.

The spelling of 216872 in words is "two hundred sixteen thousand, eight hundred seventy-two".