181772 has 12 divisors (see below), whose sum is σ = 329280. Its totient is φ = 87696.

The previous prime is 181763. The next prime is 181777. The reversal of 181772 is 277181.

It is not an unprimeable number, because it can be changed into a prime (181777) by changing a digit.

181772 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 3 ways as a sum of consecutive naturals, for example, 668 + ... + 899.

It is an arithmetic number, because the mean of its divisors is an integer number (27440).

2¹⁸¹⁷⁷² is an apocalyptic number.

It is an amenable number.

181772 is a deficient number, since it is larger than the sum of its proper divisors (147508).

181772 is a wasteful number, since it uses less digits than its factorization.

181772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1600 (or 1598 counting only the distinct ones).

The product of its digits is 784, while the sum is 26.

The square root of 181772 is about 426.3472762901. The cubic root of 181772 is about 56.6468365831.

The spelling of 181772 in words is "one hundred eighty-one thousand, seven hundred seventy-two".