289800072 has 64 divisors (see below), whose sum is σ = 816072000. Its totient is φ = 95271552.

The previous prime is 289800067. The next prime is 289800097. The reversal of 289800072 is 270008982.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6579 + ... + 24957.

It is an arithmetic number, because the mean of its divisors is an integer number (12751125).

Almost surely, 2^289800072 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 289800072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (408036000).

289800072 is an abundant number, since it is smaller than the sum of its proper divisors (526271928).

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

289800072 is a wasteful number, since it uses less digits than its factorization.

289800072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18467 (or 18457 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 289800072 is about 17023.5152656553. The cubic root of 289800072 is about 661.7584512580.

The spelling of 289800072 in words is "two hundred eighty-nine million, eight hundred thousand, seventy-two".