4112720 has 40 divisors (see below), whose sum is σ = 9675720. Its totient is φ = 1625600.

The previous prime is 4112711. The next prime is 4112723. The reversal of 4112720 is 272114.

It can be written as a sum of positive squares in 4 ways, for example, as 2050624 + 2062096 = 1432^2 + 1436^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4112723) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7826 + ... + 8334.

It is an arithmetic number, because the mean of its divisors is an integer number (241893).

Almost surely, 2^4112720 is an apocalyptic number.

4112720 is a gapful number since it is divisible by the number (40) 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 4112720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4837860).

4112720 is an abundant number, since it is smaller than the sum of its proper divisors (5563000).

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

4112720 is a wasteful number, since it uses less digits than its factorization.

4112720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 623 (or 617 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 17.

The square root of 4112720 is about 2027.9842208459. The cubic root of 4112720 is about 160.2174127726.

Adding to 4112720 its reverse (272114), we get a palindrome (4384834).

Subtracting from 4112720 its reverse (272114), we obtain a triangular number (3840606 = T₂₇₇₁).

The spelling of 4112720 in words is "four million, one hundred twelve thousand, seven hundred twenty".