287712 has 72 divisors (see below), whose sum is σ = 871416. Its totient is φ = 93312.

The previous prime is 287701. The next prime is 287731. The reversal of 287712 is 217782.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an Ulam number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 287712.

It is an unprimeable number.

287712 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 11 ways as a sum of consecutive naturals, for example, 7758 + ... + 7794.

It is an arithmetic number, because the mean of its divisors is an integer number (12103).

2²⁸⁷⁷¹² 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 287712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (435708).

287712 is an abundant number, since it is smaller than the sum of its proper divisors (583704).

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

287712 is an equidigital number, since it uses as much as digits as its factorization.

287712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62 (or 42 counting only the distinct ones).

The product of its digits is 1568, while the sum is 27.

The square root of 287712 is about 536.3879193270. The cubic root of 287712 is about 66.0165247879.

It can be divided in two parts, 287 and 712, that added together give a palindrome (999).

The spelling of 287712 in words is "two hundred eighty-seven thousand, seven hundred twelve".