3111072 has 48 divisors (see below), whose sum is σ = 8527680. Its totient is φ = 991232.

The previous prime is 3111037. The next prime is 3111077. The reversal of 3111072 is 2701113.

3111072 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 (3111077) 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, 1504 + ... + 2912.

It is an arithmetic number, because the mean of its divisors is an integer number (177660).

Almost surely, 2^3111072 is an apocalyptic number.

3111072 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 3111072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4263840).

3111072 is an abundant number, since it is smaller than the sum of its proper divisors (5416608).

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

3111072 is a wasteful number, since it uses less digits than its factorization.

3111072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1445 (or 1437 counting only the distinct ones).

The product of its (nonzero) digits is 42, while the sum is 15.

The square root of 3111072 is about 1763.8231203837. The cubic root of 3111072 is about 145.9833595847.

Adding to 3111072 its reverse (2701113), we get a palindrome (5812185).

The spelling of 3111072 in words is "three million, one hundred eleven thousand, seventy-two".