289272 has 32 divisors (see below), whose sum is σ = 766800. Its totient is φ = 90624.

The previous prime is 289253. The next prime is 289273. The reversal of 289272 is 272982.

289272 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a d-powerful number, because it can be written as 2¹¹ + 8⁴ + 2¹² + 9² + 7⁵ + 2¹⁸ .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (289273) by changing a digit.

289272 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, 54 + ... + 762.

2²⁸⁹²⁷² 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 289272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (383400).

289272 is an abundant number, since it is smaller than the sum of its proper divisors (477528).

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

289272 is a wasteful number, since it uses less digits than its factorization.

289272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 735 (or 731 counting only the distinct ones).

The product of its digits is 4032, while the sum is 30.

The square root of 289272 is about 537.8401249442. The cubic root of 289272 is about 66.1356256070.

Subtracting from 289272 its reverse (272982), we obtain a triangular number (16290 = T₁₈₀).

It can be divided in two parts, 289 and 272, that added together give a triangular number (561 = T₃₃).

The spelling of 289272 in words is "two hundred eighty-nine thousand, two hundred seventy-two".