216752 has 40 divisors (see below), whose sum is σ = 476160. Its totient is φ = 95040.

The previous prime is 216751. The next prime is 216757. The reversal of 216752 is 257612.

216752 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 (23).

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (216751) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6977 + ... + 7007.

It is an arithmetic number, because the mean of its divisors is an integer number (11904).

2²¹⁶⁷⁵² 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 216752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238080).

216752 is an abundant number, since it is smaller than the sum of its proper divisors (259408).

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

216752 is a wasteful number, since it uses less digits than its factorization.

216752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81 (or 75 counting only the distinct ones).

The product of its digits is 840, while the sum is 23.

The square root of 216752 is about 465.5663218060. The cubic root of 216752 is about 60.0695489808.

The spelling of 216752 in words is "two hundred sixteen thousand, seven hundred fifty-two".