4032112 has 60 divisors (see below), whose sum is σ = 9400440. Its totient is φ = 1669248.

The previous prime is 4032101. The next prime is 4032113. The reversal of 4032112 is 2112304.

4032112 = T₁₆₈ + T₁₆₉ + ... + T₃₀₆.

4032112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 4032092 and 4032101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4032113) 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 11 ways as a sum of consecutive naturals, for example, 28939 + ... + 29077.

It is an arithmetic number, because the mean of its divisors is an integer number (156674).

Almost surely, 2^4032112 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 4032112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4700220).

4032112 is an abundant number, since it is smaller than the sum of its proper divisors (5368328).

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

4032112 is a wasteful number, since it uses less digits than its factorization.

4032112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 4032112 is about 2008.0119521557. The cubic root of 4032112 is about 159.1637620271.

Subtracting from 4032112 its product of nonzero digits (48), we obtain a square (4032064 = 2008²).

Adding to 4032112 its reverse (2112304), we get a palindrome (6144416).

It can be divided in two parts, 4032 and 112, that multiplied together give a square (451584 = 672²).

The spelling of 4032112 in words is "four million, thirty-two thousand, one hundred twelve".