289575072 has 144 divisors (see below), whose sum is σ = 857656800. Its totient is φ = 92606976.

The previous prime is 289575071. The next prime is 289575073. The reversal of 289575072 is 270575982.

It is a happy number.

289575072 is a `hidden beast` number, since 2 + 8 + 9 + 575 + 0 + 72 = 666.

It is an interprime number because it is at equal distance from previous prime (289575071) and next prime (289575073).

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (289575071) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 829554 + ... + 829902.

It is an arithmetic number, because the mean of its divisors is an integer number (5955950).

Almost surely, 2^289575072 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 289575072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (428828400).

289575072 is an abundant number, since it is smaller than the sum of its proper divisors (568081728).

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

289575072 is a wasteful number, since it uses less digits than its factorization.

289575072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 475 (or 464 counting only the distinct ones).

The product of its (nonzero) digits is 352800, while the sum is 45.

The square root of 289575072 is about 17016.9054766135. The cubic root of 289575072 is about 661.5871444197.

The spelling of 289575072 in words is "two hundred eighty-nine million, five hundred seventy-five thousand, seventy-two".