287730 has 48 divisors (see below), whose sum is σ = 786240. Its totient is φ = 72864.

The previous prime is 287701. The next prime is 287731. The reversal of 287730 is 37782.

287730 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 287694 and 287703.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 287730.

It is not an unprimeable number, because it can be changed into a prime (287731) by changing a digit.

287730 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 23 ways as a sum of consecutive naturals, for example, 2001 + ... + 2139.

It is an arithmetic number, because the mean of its divisors is an integer number (16380).

2²⁸⁷⁷³⁰ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 287730, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (393120).

287730 is an abundant number, since it is smaller than the sum of its proper divisors (498510).

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

287730 is a wasteful number, since it uses less digits than its factorization.

287730 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The square root of 287730 is about 536.4046979660. The cubic root of 287730 is about 66.0179014801.

The spelling of 287730 in words is "two hundred eighty-seven thousand, seven hundred thirty".