3972208 has 20 divisors (see below), whose sum is σ = 7727680. Its totient is φ = 1977984.

The previous prime is 3972193. The next prime is 3972223. The reversal of 3972208 is 8022793.

3972208 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3972193) and next prime (3972223).

It is a self number, because there is not a number n which added to its sum of digits gives 3972208.

It is a congruent number.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 6241 + ... + 6847.

It is an arithmetic number, because the mean of its divisors is an integer number (386384).

Almost surely, 2^3972208 is an apocalyptic number.

It is an amenable number.

3972208 is a deficient number, since it is larger than the sum of its proper divisors (3755472).

3972208 is a wasteful number, since it uses less digits than its factorization.

3972208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1024 (or 1018 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 31.

The square root of 3972208 is about 1993.0398892145. The cubic root of 3972208 is about 158.3716083522.

The spelling of 3972208 in words is "three million, nine hundred seventy-two thousand, two hundred eight".