272288 has 24 divisors (see below), whose sum is σ = 548352. Its totient is φ = 133056.

The previous prime is 272287. The next prime is 272299. The reversal of 272288 is 882272.

It is a self number, because there is not a number n which added to its sum of digits gives 272288.

It is not an unprimeable number, because it can be changed into a prime (272287) by changing a digit.

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, 2081 + ... + 2207.

It is an arithmetic number, because the mean of its divisors is an integer number (22848).

2²⁷²²⁸⁸ is an apocalyptic number.

It is an amenable number.

272288 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.

272288 is a wasteful number, since it uses less digits than its factorization.

272288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204 (or 196 counting only the distinct ones).

The product of its digits is 3584, while the sum is 29.

The square root of 272288 is about 521.8122267636. The cubic root of 272288 is about 64.8150958073.

It can be divided in two parts, 27 and 2288, that multiplied together give a triangular number (61776 = T₃₅₁).

The spelling of 272288 in words is "two hundred seventy-two thousand, two hundred eighty-eight".