288072 has 24 divisors (see below), whose sum is σ = 780390. Its totient is φ = 96000.

The previous prime is 288061. The next prime is 288077. The reversal of 288072 is 270882.

It can be written as a sum of positive squares in only one way, i.e., 285156 + 2916 = 534^2 + 54^2 .

It is a tau number, because it is divible by the number of its divisors (24).

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 288072.

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

288072 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1929 + ... + 2072.

2²⁸⁸⁰⁷² is an apocalyptic number.

It is an amenable number.

288072 is an abundant number, since it is smaller than the sum of its proper divisors (492318).

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

288072 is a wasteful number, since it uses less digits than its factorization.

288072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4013 (or 4006 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 288072 is about 536.7233924472. The cubic root of 288072 is about 66.0440477314.

It can be divided in two parts, 28 and 8072, that added together give a square (8100 = 90²).

The spelling of 288072 in words is "two hundred eighty-eight thousand, seventy-two".