162288 has 90 divisors (see below), whose sum is σ = 551304. Its totient is φ = 44352.

The previous prime is 162287. The next prime is 162289. The reversal of 162288 is 882261.

It is an interprime number because it is at equal distance from previous prime (162287) and next prime (162289).

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

It is a nialpdrome in base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (162287) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 7045 + ... + 7067.

2¹⁶²²⁸⁸ is an apocalyptic number.

162288 is a gapful number since it is divisible by the number (18) 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 162288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275652).

162288 is an abundant number, since it is smaller than the sum of its proper divisors (389016).

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

162288 is a wasteful number, since it uses less digits than its factorization.

162288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51 (or 35 counting only the distinct ones).

The product of its digits is 1536, while the sum is 27.

The square root of 162288 is about 402.8498479583. The cubic root of 162288 is about 54.5459030266.

Subtracting from 162288 its sum of digits (27), we obtain a palindrome (162261).

It can be divided in two parts, 162 and 288, that multiplied together give a 6-th power (46656 = 6⁶).

The spelling of 162288 in words is "one hundred sixty-two thousand, two hundred eighty-eight".