2287872 has 72 divisors (see below), whose sum is σ = 6786080. Its totient is φ = 760320.

The previous prime is 2287871. The next prime is 2287891. The reversal of 2287872 is 2787822.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (2287871) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6747 + ... + 7077.

2^2287872 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2287872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3393040).

2287872 is an abundant number, since it is smaller than the sum of its proper divisors (4498208).

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

2287872 is an equidigital number, since it uses as much as digits as its factorization.

2287872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 356 (or 336 counting only the distinct ones).

The product of its digits is 25088, while the sum is 36.

The square root of 2287872 is about 1512.5713206325. The cubic root of 2287872 is about 131.7681881833.

It can be divided in two parts, 228 and 7872, that added together give a square (8100 = 90²).

The spelling of 2287872 in words is "two million, two hundred eighty-seven thousand, eight hundred seventy-two".