288272 has 20 divisors (see below), whose sum is σ = 572880. Its totient is φ = 140448.

The previous prime is 288257. The next prime is 288283. The reversal of 288272 is 272882.

It is a Smith number, since the sum of its digits (29) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

288272 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 3 ways as a sum of consecutive naturals, for example, 479 + ... + 897.

It is an arithmetic number, because the mean of its divisors is an integer number (28644).

2²⁸⁸²⁷² is an apocalyptic number.

It is an amenable number.

288272 is a deficient number, since it is larger than the sum of its proper divisors (284608).

288272 is a wasteful number, since it uses less digits than its factorization.

288272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 470 (or 464 counting only the distinct ones).

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

The square root of 288272 is about 536.9096758301. The cubic root of 288272 is about 66.0593283487.

The spelling of 288272 in words is "two hundred eighty-eight thousand, two hundred seventy-two".