181972 has 24 divisors (see below), whose sum is σ = 373184. Its totient is φ = 76032.

The previous prime is 181967. The next prime is 181981. The reversal of 181972 is 279181.

181972 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×181972² = 66227617568, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a plaindrome in base 11.

It is a self number, because there is not a number n which added to its sum of digits gives 181972.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1828 + ... + 1924.

2¹⁸¹⁹⁷² is an apocalyptic number.

It is an amenable number.

181972 is an abundant number, since it is smaller than the sum of its proper divisors (191212).

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

181972 is a wasteful number, since it uses less digits than its factorization.

181972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175 (or 173 counting only the distinct ones).

The product of its digits is 1008, while the sum is 28.

The square root of 181972 is about 426.5817623856. The cubic root of 181972 is about 56.6676047519.

It can be divided in two parts, 1819 and 72, that added together give a triangular number (1891 = T₆₁).

The spelling of 181972 in words is "one hundred eighty-one thousand, nine hundred seventy-two".