2671872 has 108 divisors (see below), whose sum is σ = 8388576. Its totient is φ = 752640.

The previous prime is 2671849. The next prime is 2671883. The reversal of 2671872 is 2781762.

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 37597 + ... + 37667.

It is an arithmetic number, because the mean of its divisors is an integer number (77672).

2^2671872 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 2671872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4194288).

2671872 is an abundant number, since it is smaller than the sum of its proper divisors (5716704).

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

2671872 is an equidigital number, since it uses as much as digits as its factorization.

2671872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 83 counting only the distinct ones).

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

The square root of 2671872 is about 1634.5861861646. The cubic root of 2671872 is about 138.7624256383.

The spelling of 2671872 in words is "two million, six hundred seventy-one thousand, eight hundred seventy-two".