289872 has 80 divisors (see below), whose sum is σ = 922560. Its totient is φ = 86400.

The previous prime is 289871. The next prime is 289889. The reversal of 289872 is 278982.

289872 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a d-powerful number, because it can be written as 2⁸ + 8 + 8⁴ + 9⁴ + 7⁵ + 2¹⁸ .

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 289872.

It is not an unprimeable number, because it can be changed into a prime (289871) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 4722 + ... + 4782.

It is an arithmetic number, because the mean of its divisors is an integer number (11532).

2²⁸⁹⁸⁷² is an apocalyptic number.

289872 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 289872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (461280).

289872 is an abundant number, since it is smaller than the sum of its proper divisors (632688).

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

289872 is a wasteful number, since it uses less digits than its factorization.

289872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89 (or 77 counting only the distinct ones).

The product of its digits is 16128, while the sum is 36.

The square root of 289872 is about 538.3976225802. The cubic root of 289872 is about 66.1813195924.

The spelling of 289872 in words is "two hundred eighty-nine thousand, eight hundred seventy-two".