287272 has 16 divisors (see below), whose sum is σ = 544500. Its totient is φ = 142080.

The previous prime is 287269. The next prime is 287279. The reversal of 287272 is 272782.

It can be written as a sum of positive squares in 2 ways, for example, as 285156 + 2116 = 534^2 + 46^2 .

It is a d-powerful number, because it can be written as 2⁴ + 8² + 2¹³ + 7² + 7⁵ + 2¹⁸ .

Its product of digits (3136) is a multiple of the sum of its prime divisors (392).

It is a self number, because there is not a number n which added to its sum of digits gives 287272.

It is not an unprimeable number, because it can be changed into a prime (287279) 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, 1072 + ... + 1312.

2²⁸⁷²⁷² is an apocalyptic number.

It is an amenable number.

287272 is a deficient number, since it is larger than the sum of its proper divisors (257228).

287272 is a wasteful number, since it uses less digits than its factorization.

287272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 396 (or 392 counting only the distinct ones).

The product of its digits is 3136, while the sum is 28.

The square root of 287272 is about 535.9776114727. The cubic root of 287272 is about 65.9828544382.

The spelling of 287272 in words is "two hundred eighty-seven thousand, two hundred seventy-two".