39216 has 40 divisors (see below), whose sum is σ = 109120. Its totient is φ = 12096.

The previous prime is 39209. The next prime is 39217. The reversal of 39216 is 61293.

39216 is nontrivially palindromic in base 7.

39216 is a nontrivial repdigit in base 7.

It is a plaindrome in base 7.

It is a nialpdrome in base 7 and base 16.

It is a zygodrome in base 7.

It is a junction number, because it is equal to n+sod(n) for n = 39192 and 39201.

It is not an unprimeable number, because it can be changed into a prime (39217) 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, 891 + ... + 933.

It is an arithmetic number, because the mean of its divisors is an integer number (2728).

39216 is a Friedman number, since it can be written as ((9-2)^6-1)/3, using all its digits and the basic arithmetic operations.

2³⁹²¹⁶ 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 39216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54560).

39216 is an abundant number, since it is smaller than the sum of its proper divisors (69904).

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

39216 is a wasteful number, since it uses less digits than its factorization.

39216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73 (or 67 counting only the distinct ones).

The product of its digits is 324, while the sum is 21.

The square root of 39216 is about 198.0303007118. The cubic root of 39216 is about 33.9746061828.

The spelling of 39216 in words is "thirty-nine thousand, two hundred sixteen".