2167872 has 56 divisors (see below), whose sum is σ = 6559296. Its totient is φ = 619008.

The previous prime is 2167849. The next prime is 2167873. The reversal of 2167872 is 2787612.

It is a tau number, because it is divible by the number of its divisors (56).

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is a nude number because it is divisible by every one of its digits.

It is an alternating number because its digits alternate between even and odd.

It is not an unprimeable number, because it can be changed into a prime (2167873) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 538 + ... + 2150.

2^2167872 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 2167872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3279648).

2167872 is an abundant number, since it is smaller than the sum of its proper divisors (4391424).

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

2167872 is a wasteful number, since it uses less digits than its factorization.

2167872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1635 (or 1625 counting only the distinct ones).

The product of its digits is 9408, while the sum is 33.

The square root of 2167872 is about 1472.3695188369. The cubic root of 2167872 is about 129.4229253703.

The spelling of 2167872 in words is "two million, one hundred sixty-seven thousand, eight hundred seventy-two".