182272 has 24 divisors (see below), whose sum is σ = 368550. Its totient is φ = 90112.

The previous prime is 182261. The next prime is 182279. The reversal of 182272 is 272281.

It can be written as a sum of positive squares in only one way, i.e., 173056 + 9216 = 416^2 + 96^2 .

It is a nialpdrome in base 8.

It is not an unprimeable number, because it can be changed into a prime (182279) by changing a digit.

182272 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 as a sum of consecutive naturals, namely, 2004 + ... + 2092.

182272 is a Friedman number, since it can be written as 712*(8*2)^2, using all its digits and the basic arithmetic operations.

2¹⁸²²⁷² 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 182272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184275).

182272 is an abundant number, since it is smaller than the sum of its proper divisors (186278).

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

182272 is an frugal number, since it uses more digits than its factorization.

182272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111 (or 91 counting only the distinct ones).

The product of its digits is 448, while the sum is 22.

The square root of 182272 is about 426.9332500520. The cubic root of 182272 is about 56.6987284920.

Subtracting 182272 from its reverse (272281), we obtain a palindrome (90009).

It can be divided in two parts, 182 and 272, that added together give a palindrome (454).

The spelling of 182272 in words is "one hundred eighty-two thousand, two hundred seventy-two".