4072035 has 64 divisors (see below), whose sum is σ = 7879680. Its totient is φ = 1774080.

The previous prime is 4072009. The next prime is 4072039. The reversal of 4072035 is 5302704.

It is a happy number.

4072035 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 4072035 - 2¹² = 4067939 is a prime.

It is a zygodrome in base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4072039) 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 63 ways as a sum of consecutive naturals, for example, 110037 + ... + 110073.

It is an arithmetic number, because the mean of its divisors is an integer number (123120).

Almost surely, 2^4072035 is an apocalyptic number.

4072035 is a deficient number, since it is larger than the sum of its proper divisors (3807645).

4072035 is a wasteful number, since it uses less digits than its factorization.

4072035 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108.

The product of its (nonzero) digits is 840, while the sum is 21.

The square root of 4072035 is about 2017.9283931795. The cubic root of 4072035 is about 159.6873451706.

Adding to 4072035 its reverse (5302704), we get a palindrome (9374739).

It can be divided in two parts, 40720 and 35, that added together give a triangular number (40755 = T₂₈₅).

The spelling of 4072035 in words is "four million, seventy-two thousand, thirty-five".