216072 has 24 divisors (see below), whose sum is σ = 585390. Its totient is φ = 72000.

The previous prime is 216071. The next prime is 216091. The reversal of 216072 is 270612.

It is a happy number.

216072 is digitally balanced in base 3, 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., 181476 + 34596 = 426^2 + 186^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-3 number, since 3×216072³ = 30263331166815744, which contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 216072.

It is not an unprimeable number, because it can be changed into a prime (216071) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1429 + ... + 1572.

216072 is a Friedman number, since it can be written as 72+60^(2+1), using all its digits and the basic arithmetic operations.

2²¹⁶⁰⁷² is an apocalyptic number.

It is an amenable number.

216072 is an abundant number, since it is smaller than the sum of its proper divisors (369318).

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

216072 is a wasteful number, since it uses less digits than its factorization.

216072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3013 (or 3006 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 216072 is about 464.8354547579. The cubic root of 216072 is about 60.0066659261.

Adding to 216072 its reverse (270612), we get a palindrome (486684).

It can be divided in two parts, 21607 and 2, that added together give a square (21609 = 147²).

The spelling of 216072 in words is "two hundred sixteen thousand, seventy-two".