3968072 has 32 divisors (see below), whose sum is σ = 7970400. Its totient is φ = 1845504.

The previous prime is 3968071. The next prime is 3968077. The reversal of 3968072 is 2708693.

It is not an unprimeable number, because it can be changed into a prime (3968071) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 22079 + ... + 22257.

It is an arithmetic number, because the mean of its divisors is an integer number (249075).

Almost surely, 2^3968072 is an apocalyptic number.

It is an amenable number.

3968072 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

3968072 is a wasteful number, since it uses less digits than its factorization.

3968072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 365 (or 361 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 35.

The square root of 3968072 is about 1992.0020080311. The cubic root of 3968072 is about 158.3166219358.

The spelling of 3968072 in words is "three million, nine hundred sixty-eight thousand, seventy-two".