289072 has 40 divisors (see below), whose sum is σ = 669600. Its totient is φ = 118272.

The previous prime is 289067. The next prime is 289099. The reversal of 289072 is 270982.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 289072.

It is an unprimeable number.

289072 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 7 ways as a sum of consecutive naturals, for example, 3204 + ... + 3292.

It is an arithmetic number, because the mean of its divisors is an integer number (16740).

2²⁸⁹⁰⁷² 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 289072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (334800).

289072 is an abundant number, since it is smaller than the sum of its proper divisors (380528).

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

289072 is a wasteful number, since it uses less digits than its factorization.

289072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 28.

The square root of 289072 is about 537.6541639381. The cubic root of 289072 is about 66.1203802386.

It can be divided in two parts, 28 and 9072, that multiplied together give a square (254016 = 504²).

The spelling of 289072 in words is "two hundred eighty-nine thousand, seventy-two".