288372 has 24 divisors (see below), whose sum is σ = 769216. Its totient is φ = 82368.

The previous prime is 288361. The next prime is 288383. The reversal of 288372 is 273882.

It is an interprime number because it is at equal distance from previous prime (288361) and next prime (288383).

It is a d-powerful number, because it can be written as 2⁴ + 8⁴ + 3⁹ + 8⁶ + 7⁴ + 2⁵ .

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 288372.

It is an unprimeable number.

288372 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 7 ways as a sum of consecutive naturals, for example, 1633 + ... + 1800.

2²⁸⁸³⁷² is an apocalyptic number.

It is an amenable number.

288372 is an abundant number, since it is smaller than the sum of its proper divisors (480844).

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

288372 is a wasteful number, since it uses less digits than its factorization.

288372 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3447 (or 3445 counting only the distinct ones).

The product of its digits is 5376, while the sum is 30.

The square root of 288372 is about 537.0027932888. The cubic root of 288372 is about 66.0669660070.

The spelling of 288372 in words is "two hundred eighty-eight thousand, three hundred seventy-two".