288936072 has 160 divisors (see below), whose sum is σ = 846806400. Its totient is φ = 91967616.

The previous prime is 288936041. The next prime is 288936083. The reversal of 288936072 is 270639882.

288936072 is a `hidden beast` number, since 288 + 9 + 360 + 7 + 2 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1614079 + ... + 1614257.

It is an arithmetic number, because the mean of its divisors is an integer number (5292540).

Almost surely, 2^288936072 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 288936072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (423403200).

288936072 is an abundant number, since it is smaller than the sum of its proper divisors (557870328).

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

288936072 is a wasteful number, since it uses less digits than its factorization.

288936072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 297 (or 284 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 288936072 is about 16998.1196607154. The cubic root of 288936072 is about 661.1001486234.

The spelling of 288936072 in words is "two hundred eighty-eight million, nine hundred thirty-six thousand, seventy-two".