216672 has 48 divisors (see below), whose sum is σ = 593712. Its totient is φ = 69120.

The previous prime is 216661. The next prime is 216679. The reversal of 216672 is 276612.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (216679) 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, 3522 + ... + 3582.

It is an arithmetic number, because the mean of its divisors is an integer number (12369).

2²¹⁶⁶⁷² 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 216672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (296856).

216672 is an abundant number, since it is smaller than the sum of its proper divisors (377040).

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

216672 is a wasteful number, since it uses less digits than its factorization.

216672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111 (or 103 counting only the distinct ones).

The product of its digits is 1008, while the sum is 24.

The square root of 216672 is about 465.4803970094. The cubic root of 216672 is about 60.0621578068.

It can be divided in two parts, 21667 and 2, that multiplied together give a palindrome (43334).

The spelling of 216672 in words is "two hundred sixteen thousand, six hundred seventy-two".