288672000 has 288 divisors, whose sum is σ = 999957504. Its totient is φ = 73728000.

The previous prime is 288671953. The next prime is 288672037. The reversal of 288672000 is 276882.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2975952 + ... + 2976048.

Almost surely, 2^288672000 is an apocalyptic number.

288672000 is a gapful number since it is divisible by the number (20) 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 288672000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (499978752).

288672000 is an abundant number, since it is smaller than the sum of its proper divisors (711285504).

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

288672000 is an equidigital number, since it uses as much as digits as its factorization.

288672000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 33.

The square root of 288672000 is about 16990.3502023943. The cubic root of 288672000 is about 660.8986839312.

The spelling of 288672000 in words is "two hundred eighty-eight million, six hundred seventy-two thousand".