162432 has 64 divisors (see below), whose sum is σ = 489600. Its totient is φ = 52992.

The previous prime is 162419. The next prime is 162439. The reversal of 162432 is 234261.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

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 and also a Zuckerman number because it is divisible by the product of its digits.

It is not an unprimeable number, because it can be changed into a prime (162439) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3433 + ... + 3479.

It is an arithmetic number, because the mean of its divisors is an integer number (7650).

2¹⁶²⁴³² is an apocalyptic number.

162432 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 162432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244800).

162432 is an abundant number, since it is smaller than the sum of its proper divisors (327168).

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

162432 is an equidigital number, since it uses as much as digits as its factorization.

162432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70 (or 52 counting only the distinct ones).

The product of its digits is 288, while the sum is 18.

The square root of 162432 is about 403.0285349699. The cubic root of 162432 is about 54.5620313253.

Adding to 162432 its reverse (234261), we get a palindrome (396693).

The spelling of 162432 in words is "one hundred sixty-two thousand, four hundred thirty-two".