4072112704 has 84 divisors (see below), whose sum is σ = 8909529552. Its totient is φ = 1845226240.

The previous prime is 4072112701. The next prime is 4072112711.

4072112704 is nontrivially palindromic in base 10.

It is not an unprimeable number, because it can be changed into a prime (4072112701) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3429999 + ... + 3431185.

It is an arithmetic number, because the mean of its divisors is an integer number (106065828).

Almost surely, 2^4072112704 is an apocalyptic number.

4072112704 is a gapful number since it is divisible by the number (44) 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 4072112704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4454764776).

4072112704 is an abundant number, since it is smaller than the sum of its proper divisors (4837416848).

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

4072112704 is a wasteful number, since it uses less digits than its factorization.

4072112704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1664 (or 1643 counting only the distinct ones).

The product of its (nonzero) digits is 3136, while the sum is 28.

The square root of 4072112704 is about 63813.1076190464. The cubic root of 4072112704 is about 1596.8836090079.

The spelling of 4072112704 in words is "four billion, seventy-two million, one hundred twelve thousand, seven hundred four".