288448072 has 32 divisors (see below), whose sum is σ = 590677920. Its totient is φ = 130963840.

The previous prime is 288448067. The next prime is 288448081. The reversal of 288448072 is 270844882.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 124428 + ... + 126724.

It is an arithmetic number, because the mean of its divisors is an integer number (18458685).

Almost surely, 2^288448072 is an apocalyptic number.

288448072 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

288448072 is an abundant number, since it is smaller than the sum of its proper divisors (302229848).

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

288448072 is a wasteful number, since it uses less digits than its factorization.

288448072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3741 (or 3737 counting only the distinct ones).

The product of its (nonzero) digits is 229376, while the sum is 43.

The square root of 288448072 is about 16983.7590656486. The cubic root of 288448072 is about 660.7277494402.

The spelling of 288448072 in words is "two hundred eighty-eight million, four hundred forty-eight thousand, seventy-two".