3972728 has 16 divisors (see below), whose sum is σ = 7498680. Its totient is φ = 1973088.

The previous prime is 3972697. The next prime is 3972737. The reversal of 3972728 is 8272793.

It is a junction number, because it is equal to n+sod(n) for n = 3972691 and 3972700.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 326 + ... + 2837.

Almost surely, 2^3972728 is an apocalyptic number.

It is an amenable number.

3972728 is a deficient number, since it is larger than the sum of its proper divisors (3525952).

3972728 is a wasteful number, since it uses less digits than its factorization.

3972728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3326 (or 3322 counting only the distinct ones).

The product of its digits is 42336, while the sum is 38.

The square root of 3972728 is about 1993.1703389324. The cubic root of 3972728 is about 158.3785188365.

It can be divided in two parts, 397 and 2728, that added together give a 5-th power (3125 = 5⁵).

The spelling of 3972728 in words is "three million, nine hundred seventy-two thousand, seven hundred twenty-eight".