3127872 has 56 divisors (see below), whose sum is σ = 9034272. Its totient is φ = 947200.

The previous prime is 3127843. The next prime is 3127877. The reversal of 3127872 is 2787213.

3127872 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (3127877) 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, 1372 + ... + 2852.

Almost surely, 2^3127872 is an apocalyptic number.

3127872 is a gapful number since it is divisible by the number (32) 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 3127872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4517136).

3127872 is an abundant number, since it is smaller than the sum of its proper divisors (5906400).

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

3127872 is a wasteful number, since it uses less digits than its factorization.

3127872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1507 (or 1497 counting only the distinct ones).

The product of its digits is 4704, while the sum is 30.

The square root of 3127872 is about 1768.5790906827. The cubic root of 3127872 is about 146.2456613513.

The spelling of 3127872 in words is "three million, one hundred twenty-seven thousand, eight hundred seventy-two".