4008072 has 64 divisors (see below), whose sum is σ = 10730880. Its totient is φ = 1244672.

The previous prime is 4008029. The next prime is 4008077. The reversal of 4008072 is 2708004.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (4008077) 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, 29188 + ... + 29324.

It is an arithmetic number, because the mean of its divisors is an integer number (167670).

Almost surely, 2^4008072 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 4008072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5365440).

4008072 is an abundant number, since it is smaller than the sum of its proper divisors (6722808).

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

4008072 is a wasteful number, since it uses less digits than its factorization.

4008072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222 (or 218 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 21.

The square root of 4008072 is about 2002.0169829449. The cubic root of 4008072 is about 158.8468126279.

The spelling of 4008072 in words is "four million, eight thousand, seventy-two".