286272 has 84 divisors (see below), whose sum is σ = 950976. Its totient is φ = 80640.

The previous prime is 286249. The next prime is 286289. The reversal of 286272 is 272682.

286272 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (84).

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

Its product of digits (2688) is a multiple of the sum of its prime factors (96).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 286272.

It is an unprimeable number.

286272 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 11 ways as a sum of consecutive naturals, for example, 3997 + ... + 4067.

2²⁸⁶²⁷² is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 286272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (475488).

286272 is an abundant number, since it is smaller than the sum of its proper divisors (664704).

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

286272 is a wasteful number, since it uses less digits than its factorization.

286272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96 (or 83 counting only the distinct ones).

The product of its digits is 2688, while the sum is 27.

The square root of 286272 is about 535.0439234306. The cubic root of 286272 is about 65.9062028497.

It can be divided in two parts, 28 and 6272, that multiplied together give a cube (175616 = 56³).

The spelling of 286272 in words is "two hundred eighty-six thousand, two hundred seventy-two".