163392 has 56 divisors (see below), whose sum is σ = 463296. Its totient is φ = 50688.

The previous prime is 163367. The next prime is 163393. The reversal of 163392 is 293361.

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

It is not an unprimeable number, because it can be changed into a prime (163393) by changing a digit.

163392 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4398 + ... + 4434.

2¹⁶³³⁹² is an apocalyptic number.

163392 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 163392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231648).

163392 is an abundant number, since it is smaller than the sum of its proper divisors (299904).

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

163392 is a wasteful number, since it uses less digits than its factorization.

163392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75 (or 65 counting only the distinct ones).

The product of its digits is 972, while the sum is 24.

The square root of 163392 is about 404.2177630931. The cubic root of 163392 is about 54.6693104677.

It can be divided in two parts, 163 and 392, that added together give a palindrome (555).

The spelling of 163392 in words is "one hundred sixty-three thousand, three hundred ninety-two".