288672 has 48 divisors (see below), whose sum is σ = 790272. Its totient is φ = 92160.

The previous prime is 288661. The next prime is 288679. The reversal of 288672 is 276882.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

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 288672.

It is not an unprimeable number, because it can be changed into a prime (288679) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2928 + ... + 3024.

It is an arithmetic number, because the mean of its divisors is an integer number (16464).

2²⁸⁸⁶⁷² 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 288672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (395136).

288672 is an abundant number, since it is smaller than the sum of its proper divisors (501600).

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

288672 is a wasteful number, since it uses less digits than its factorization.

288672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141 (or 133 counting only the distinct ones).

The product of its digits is 10752, while the sum is 33.

The square root of 288672 is about 537.2820488347. The cubic root of 288672 is about 66.0898683931.

The spelling of 288672 in words is "two hundred eighty-eight thousand, six hundred seventy-two".