288195072 has 160 divisors (see below), whose sum is σ = 862069824. Its totient is φ = 84787200.

The previous prime is 288195071. The next prime is 288195077. The reversal of 288195072 is 270591882.

It is not an unprimeable number, because it can be changed into a prime (288195071) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 624922 + ... + 625382.

Almost surely, 2^288195072 is an apocalyptic number.

288195072 is a gapful number since it is divisible by the number (22) 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 288195072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (431034912).

288195072 is an abundant number, since it is smaller than the sum of its proper divisors (573874752).

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

288195072 is a wasteful number, since it uses less digits than its factorization.

288195072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 530 (or 514 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 42.

The square root of 288195072 is about 16976.3091395038. The cubic root of 288195072 is about 660.5345164874.

The spelling of 288195072 in words is "two hundred eighty-eight million, one hundred ninety-five thousand, seventy-two".