181272 has 64 divisors (see below), whose sum is σ = 564480. Its totient is φ = 47232.

The previous prime is 181253. The next prime is 181273. The reversal of 181272 is 272181.

181272 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a nude number because it is divisible by every one of its digits.

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

Its product of digits (224) is a multiple of the sum of its prime factors (112).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (181273) by changing a digit.

181272 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 in 15 ways as a sum of consecutive naturals, for example, 2143 + ... + 2225.

It is an arithmetic number, because the mean of its divisors is an integer number (8820).

2¹⁸¹²⁷² is an apocalyptic number.

181272 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 181272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282240).

181272 is an abundant number, since it is smaller than the sum of its proper divisors (383208).

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

181272 is a wasteful number, since it uses less digits than its factorization.

181272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112 (or 108 counting only the distinct ones).

The product of its digits is 224, while the sum is 21.

The square root of 181272 is about 425.7604960538. The cubic root of 181272 is about 56.5948494275.

Subtracting 181272 from its reverse (272181), we obtain a palindrome (90909).

The spelling of 181272 in words is "one hundred eighty-one thousand, two hundred seventy-two".