182672 has 30 divisors (see below), whose sum is σ = 413478. Its totient is φ = 77952.

The previous prime is 182659. The next prime is 182681. The reversal of 182672 is 276281.

182672 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 132496 + 50176 = 364^2 + 224^2 .

It is an unprimeable number.

182672 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 5 ways as a sum of consecutive naturals, for example, 668 + ... + 900.

2¹⁸²⁶⁷² 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 182672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206739).

182672 is an abundant number, since it is smaller than the sum of its proper divisors (230806).

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

182672 is a wasteful number, since it uses less digits than its factorization.

182672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 255 (or 242 counting only the distinct ones).

The product of its digits is 1344, while the sum is 26.

The square root of 182672 is about 427.4014506293. The cubic root of 182672 is about 56.7401737339.

The spelling of 182672 in words is "one hundred eighty-two thousand, six hundred seventy-two".