4072008 has 16 divisors (see below), whose sum is σ = 10180080. Its totient is φ = 1357328.

The previous prime is 4072007. The next prime is 4072009. The reversal of 4072008 is 8002704.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (4072007) and next prime (4072009).

It is not an unprimeable number, because it can be changed into a prime (4072007) 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, 84810 + ... + 84857.

It is an arithmetic number, because the mean of its divisors is an integer number (636255).

Almost surely, 2^4072008 is an apocalyptic number.

It is an amenable number.

4072008 is an abundant number, since it is smaller than the sum of its proper divisors (6108072).

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

4072008 is a wasteful number, since it uses less digits than its factorization.

4072008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169676 (or 169672 counting only the distinct ones).

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

The square root of 4072008 is about 2017.9217031391. The cubic root of 4072008 is about 159.6869922293.

It can be divided in two parts, 407 and 2008, that added together give a triangular number (2415 = T₆₉).

The spelling of 4072008 in words is "four million, seventy-two thousand, eight".