2872800 has 288 divisors, whose sum is σ = 12499200. Its totient is φ = 622080.

The previous prime is 2872789. The next prime is 2872811. The reversal of 2872800 is 82782.

It is an interprime number because it is at equal distance from previous prime (2872789) and next prime (2872811).

It is a tau number, because it is divible by the number of its divisors (288).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nialpdrome in base 12.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 151191 + ... + 151209.

It is an arithmetic number, because the mean of its divisors is an integer number (43400).

2^2872800 is an apocalyptic number.

2872800 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 2872800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6249600).

2872800 is an abundant number, since it is smaller than the sum of its proper divisors (9626400).

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

2872800 is a wasteful number, since it uses less digits than its factorization.

2872800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 2872800 is about 1694.9336270191. The cubic root of 2872800 is about 142.1570701294.

The spelling of 2872800 in words is "two million, eight hundred seventy-two thousand, eight hundred".