288075 has 24 divisors (see below), whose sum is σ = 499968. Its totient is φ = 146080.

The previous prime is 288061. The next prime is 288077. The reversal of 288075 is 570882.

It is not a de Polignac number, because 288075 - 2¹² = 283979 is a prime.

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 288075.

It is not an unprimeable number, because it can be changed into a prime (288077) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1642 + ... + 1808.

It is an arithmetic number, because the mean of its divisors is an integer number (20832).

2²⁸⁸⁰⁷⁵ is an apocalyptic number.

288075 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

288075 is a deficient number, since it is larger than the sum of its proper divisors (211893).

288075 is a wasteful number, since it uses less digits than its factorization.

288075 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 30.

The square root of 288075 is about 536.7261871755. The cubic root of 288075 is about 66.0442769929.

It can be divided in two parts, 2880 and 75, that multiplied together give a cube (216000 = 60³).

The spelling of 288075 in words is "two hundred eighty-eight thousand, seventy-five".