4003072 has 36 divisors (see below), whose sum is σ = 8421280. Its totient is φ = 1893888.

The previous prime is 4003057. The next prime is 4003079. The reversal of 4003072 is 2703004.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4003079) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4453 + ... + 5275.

Almost surely, 2^4003072 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 4003072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4210640).

4003072 is an abundant number, since it is smaller than the sum of its proper divisors (4418208).

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

4003072 is an equidigital number, since it uses as much as digits as its factorization.

4003072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 858 (or 844 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 16.

The square root of 4003072 is about 2000.7678526006. The cubic root of 4003072 is about 158.7807322650.

Adding to 4003072 its reverse (2703004), we get a palindrome (6706076).

The spelling of 4003072 in words is "four million, three thousand, seventy-two".