272188 has 12 divisors (see below), whose sum is σ = 544432. Its totient is φ = 116640.

The previous prime is 272183. The next prime is 272189. The reversal of 272188 is 881272.

272188 is an admirable number.

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (28), and also a Moran number because the ratio is a prime number: 9721 = 272188 / (2 + 7 + 2 + 1 + 8 + 8).

It is a plaindrome in base 15.

It is a zygodrome in base 6.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (272183) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4833 + ... + 4888.

2²⁷²¹⁸⁸ is an apocalyptic number.

272188 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

272188 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

272188 is a wasteful number, since it uses less digits than its factorization.

272188 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9732 (or 9730 counting only the distinct ones).

The product of its digits is 1792, while the sum is 28.

The square root of 272188 is about 521.7163980555. The cubic root of 272188 is about 64.8071602107.

It can be divided in two parts, 2721 and 88, that added together give a square (2809 = 53²).

The spelling of 272188 in words is "two hundred seventy-two thousand, one hundred eighty-eight".