288372120 has 128 divisors (see below), whose sum is σ = 922752000. Its totient is φ = 71884800.

The previous prime is 288372107. The next prime is 288372127. The reversal of 288372120 is 21273882.

288372120 is a nontrivial binomial coefficient, being equal to C(24016, 2).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (288372127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 179320 + ... + 180920.

It is an arithmetic number, because the mean of its divisors is an integer number (7209000).

Almost surely, 2^288372120 is an apocalyptic number.

288372120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

288372120 is the 24015-th triangular number and also the 12008-th hexagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 288372120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (461376000).

288372120 is an abundant number, since it is smaller than the sum of its proper divisors (634379880).

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

288372120 is a wasteful number, since it uses less digits than its factorization.

288372120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1713 (or 1709 counting only the distinct ones).

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

The square root of 288372120 is about 16981.5228999051. The cubic root of 288372120 is about 660.6697517112.

The spelling of 288372120 in words is "two hundred eighty-eight million, three hundred seventy-two thousand, one hundred twenty".