162272 has 24 divisors (see below), whose sum is σ = 349272. Its totient is φ = 73600.

The previous prime is 162269. The next prime is 162277. The reversal of 162272 is 272261.

162272 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (162277) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 122 + ... + 582.

It is an arithmetic number, because the mean of its divisors is an integer number (14553).

2¹⁶²²⁷² 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 162272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174636).

162272 is an abundant number, since it is smaller than the sum of its proper divisors (187000).

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

162272 is a wasteful number, since it uses less digits than its factorization.

162272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 482 (or 474 counting only the distinct ones).

The product of its digits is 336, while the sum is 20.

The square root of 162272 is about 402.8299889532. The cubic root of 162272 is about 54.5441104046.

It can be divided in two parts, 162 and 272, that added together give a palindrome (434).

The spelling of 162272 in words is "one hundred sixty-two thousand, two hundred seventy-two".