160272 has 80 divisors (see below), whose sum is σ = 535680. Its totient is φ = 44928.

The previous prime is 160253. The next prime is 160309. The reversal of 160272 is 272061.

It is a happy number.

It is a super-2 number, since 2×160272² = 51374227968, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

160272 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 15 ways as a sum of consecutive naturals, for example, 2998 + ... + 3050.

It is an arithmetic number, because the mean of its divisors is an integer number (6696).

2¹⁶⁰²⁷² is an apocalyptic number.

160272 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 160272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267840).

160272 is an abundant number, since it is smaller than the sum of its proper divisors (375408).

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

160272 is a wasteful number, since it uses less digits than its factorization.

160272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 160272 is about 400.3398556227. The cubic root of 160272 is about 54.3190983154.

The spelling of 160272 in words is "one hundred sixty thousand, two hundred seventy-two".