4083072 has 128 divisors (see below), whose sum is σ = 13056000. Its totient is φ = 1128960.

The previous prime is 4083071. The next prime is 4083073. The reversal of 4083072 is 2703804.

It is an interprime number because it is at equal distance from previous prime (4083071) and next prime (4083073).

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4083071) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 131697 + ... + 131727.

It is an arithmetic number, because the mean of its divisors is an integer number (102000).

Almost surely, 2^4083072 is an apocalyptic number.

4083072 is a gapful number since it is divisible by the number (42) 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 4083072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6528000).

4083072 is an abundant number, since it is smaller than the sum of its proper divisors (8972928).

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

4083072 is an equidigital number, since it uses as much as digits as its factorization.

4083072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69 (or 43 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

The square root of 4083072 is about 2020.6612778989. The cubic root of 4083072 is about 159.8314892548.

Adding to 4083072 its reverse (2703804), we get a palindrome (6786876).

The spelling of 4083072 in words is "four million, eighty-three thousand, seventy-two".