288276072 has 64 divisors (see below), whose sum is σ = 872104320. Its totient is φ = 77518848.

The previous prime is 288276071. The next prime is 288276077. The reversal of 288276072 is 270672882.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (288276071) 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, 47613 + ... + 53324.

It is an arithmetic number, because the mean of its divisors is an integer number (13626630).

Almost surely, 2^288276072 is an apocalyptic number.

It is an amenable number.

288276072 is an abundant number, since it is smaller than the sum of its proper divisors (583828248).

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

288276072 is a wasteful number, since it uses less digits than its factorization.

288276072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100970 (or 100966 counting only the distinct ones).

The product of its (nonzero) digits is 150528, while the sum is 42.

The square root of 288276072 is about 16978.6946494717. The cubic root of 288276072 is about 660.5963938860.

The spelling of 288276072 in words is "two hundred eighty-eight million, two hundred seventy-six thousand, seventy-two".