288243072 has 192 divisors, whose sum is σ = 941194800. Its totient is φ = 83939328.

The previous prime is 288243047. The next prime is 288243073. The reversal of 288243072 is 270342882.

It is a tau number, because it is divible by the number of its divisors (192).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (288243073) 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, 284038 + ... + 285050.

Almost surely, 2^288243072 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 288243072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (470597400).

288243072 is an abundant number, since it is smaller than the sum of its proper divisors (652951728).

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

288243072 is a wasteful number, since it uses less digits than its factorization.

288243072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1065 (or 1050 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 288243072 is about 16977.7228155015. The cubic root of 288243072 is about 660.5711859748.

It can be divided in two parts, 2882 and 43072, that added together give a palindrome (45954).

The spelling of 288243072 in words is "two hundred eighty-eight million, two hundred forty-three thousand, seventy-two".