289272672 has 72 divisors (see below), whose sum is σ = 885909024. Its totient is φ = 89005824.

The previous prime is 289272649. The next prime is 289272689. The reversal of 289272672 is 276272982.

289272672 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 34888 + ... + 42375.

It is an arithmetic number, because the mean of its divisors is an integer number (12304292).

Almost surely, 2^289272672 is an apocalyptic number.

It is an amenable number.

289272672 is an abundant number, since it is smaller than the sum of its proper divisors (596636352).

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

289272672 is a wasteful number, since it uses less digits than its factorization.

289272672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77292 (or 77281 counting only the distinct ones).

The product of its digits is 338688, while the sum is 45.

The square root of 289272672 is about 17008.0178739323. The cubic root of 289272672 is about 661.3567681963.

The spelling of 289272672 in words is "two hundred eighty-nine million, two hundred seventy-two thousand, six hundred seventy-two".