187272 has 60 divisors (see below), whose sum is σ = 557205. Its totient is φ = 58752.

The previous prime is 187237. The next prime is 187273. The reversal of 187272 is 272781.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

187272 is digitally balanced in base 2, 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 2 ways, for example, as 171396 + 15876 = 414^2 + 126^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=306.

It is a super-3 number, since 3×187272³ = 19703337687442944, which contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

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

It is not an unprimeable number, because it can be changed into a prime (187273) by changing a digit.

187272 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 14 ways as a sum of consecutive naturals, for example, 11008 + ... + 11024.

187272 is a Friedman number, since it can be written as 8*(17*(7+2))^2, using all its digits and the basic arithmetic operations.

2¹⁸⁷²⁷² is an apocalyptic number.

187272 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 187272

187272 is an abundant number, since it is smaller than the sum of its proper divisors (369933).

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

187272 is a wasteful number, since it uses less digits than its factorization.

187272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52 (or 22 counting only the distinct ones).

The product of its digits is 1568, while the sum is 27.

The square root of 187272 is about 432.7493500862. The cubic root of 187272 is about 57.2125031758.

Multiplying 187272 by its product of digits (1568), we get a square (293642496 = 17136²).

The spelling of 187272 in words is "one hundred eighty-seven thousand, two hundred seventy-two".