181472 has 24 divisors (see below), whose sum is σ = 367416. Its totient is φ = 88192.

The previous prime is 181459. The next prime is 181499. The reversal of 181472 is 274181.

181472 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an alternating number because its digits alternate between odd and even.

It is a congruent number.

It is an unprimeable number.

181472 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, 1643 + ... + 1749.

It is an arithmetic number, because the mean of its divisors is an integer number (15309).

2¹⁸¹⁴⁷² 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 181472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183708).

181472 is an abundant number, since it is smaller than the sum of its proper divisors (185944).

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

181472 is a wasteful number, since it uses less digits than its factorization.

181472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170 (or 162 counting only the distinct ones).

The product of its digits is 448, while the sum is 23.

The square root of 181472 is about 425.9953051384. The cubic root of 181472 is about 56.6156557473.

The spelling of 181472 in words is "one hundred eighty-one thousand, four hundred seventy-two".