2227872 has 48 divisors (see below), whose sum is σ = 6108480. Its totient is φ = 709632.

The previous prime is 2227871. The next prime is 2227889. The reversal of 2227872 is 2787222.

2227872 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (2227871) 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 7 ways as a sum of consecutive naturals, for example, 1704 + ... + 2712.

It is an arithmetic number, because the mean of its divisors is an integer number (127260).

2^2227872 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 2227872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3054240).

2227872 is an abundant number, since it is smaller than the sum of its proper divisors (3880608).

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

2227872 is a wasteful number, since it uses less digits than its factorization.

2227872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1045 (or 1037 counting only the distinct ones).

The product of its digits is 6272, while the sum is 30.

The square root of 2227872 is about 1492.6057751463. The cubic root of 2227872 is about 130.6060851102.

The spelling of 2227872 in words is "two million, two hundred twenty-seven thousand, eight hundred seventy-two".