289712720 has 90 divisors (see below), whose sum is σ = 744688014. Its totient is φ = 104741120.

The previous prime is 289712707. The next prime is 289712723. The reversal of 289712720 is 27217982.

It can be written as a sum of positive squares in 3 ways, for example, as 149621824 + 140090896 = 12232^2 + 11836^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (289712723) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1674554 + ... + 1674726.

Almost surely, 2^289712720 is an apocalyptic number.

289712720 is a gapful number since it is divisible by the number (20) 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 289712720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (372344007).

289712720 is an abundant number, since it is smaller than the sum of its proper divisors (454975294).

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

289712720 is a wasteful number, since it uses less digits than its factorization.

289712720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 381 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 38.

The square root of 289712720 is about 17020.9494447284. The cubic root of 289712720 is about 661.6919551471.

The spelling of 289712720 in words is "two hundred eighty-nine million, seven hundred twelve thousand, seven hundred twenty".