289320672 has 48 divisors (see below), whose sum is σ = 762556032. Its totient is φ = 96048000.

The previous prime is 289320623. The next prime is 289320679. The reversal of 289320672 is 276023982.

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

It is a self number, because there is not a number n which added to its sum of digits gives 289320672.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (289320679) 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, 18093 + ... + 30099.

It is an arithmetic number, because the mean of its divisors is an integer number (15886584).

Almost surely, 2^289320672 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 289320672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (381278016).

289320672 is an abundant number, since it is smaller than the sum of its proper divisors (473235360).

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

289320672 is a wasteful number, since it uses less digits than its factorization.

289320672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12271 (or 12263 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 39.

The square root of 289320672 is about 17009.4289145756. The cubic root of 289320672 is about 661.3933465671.

The spelling of 289320672 in words is "two hundred eighty-nine million, three hundred twenty thousand, six hundred seventy-two".