4392 has 24 divisors (see below), whose sum is σ = 12090. Its totient is φ = 1440.

The previous prime is 4391. The next prime is 4397. The reversal of 4392 is 2934.

4392 = 3⁵ + 4⁵ + 5⁵.

4392 is nontrivially palindromic in base 11.

It can be written as a sum of positive squares in only one way, i.e., 4356 + 36 = 66^2 + 6^2 .

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

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

It is a nude number because it is divisible by every one of its digits.

It is an Ulam number.

It is one of the 548 Lynch-Bell numbers.

4392 is a nontrivial repdigit in base 11.

It is a plaindrome in base 11, base 15 and base 16.

It is a nialpdrome in base 6 and base 11.

It is a zygodrome in base 11.

It is not an unprimeable number, because it can be changed into a prime (4391) 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, 42 + ... + 102.

2⁴³⁹² 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 4392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6045).

4392 is an abundant number, since it is smaller than the sum of its proper divisors (7698).

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

4392 is a wasteful number, since it uses less digits than its factorization.

4392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73 (or 66 counting only the distinct ones).

The product of its digits is 216, while the sum is 18.

The square root of 4392 is about 66.2721661031. The cubic root of 4392 is about 16.3764882201.

It can be divided in two parts, 439 and 2, that multiplied together give a palindrome (878).

The spelling of 4392 in words is "four thousand, three hundred ninety-two".