3972872 has 8 divisors (see below), whose sum is σ = 7449150. Its totient is φ = 1986432.

The previous prime is 3972851. The next prime is 3972877. The reversal of 3972872 is 2782793.

3972872 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 3290596 + 682276 = 1814^2 + 826^2 .

It is a tau number, because it is divible by the number of its divisors (8).

It is not an unprimeable number, because it can be changed into a prime (3972877) by changing a digit.

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 as a sum of consecutive naturals, namely, 248297 + ... + 248312.

Almost surely, 2^3972872 is an apocalyptic number.

It is an amenable number.

3972872 is a deficient number, since it is larger than the sum of its proper divisors (3476278).

3972872 is a wasteful number, since it uses less digits than its factorization.

3972872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 496615 (or 496611 counting only the distinct ones).

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

The square root of 3972872 is about 1993.2064619602. The cubic root of 3972872 is about 158.3804324024.

The spelling of 3972872 in words is "three million, nine hundred seventy-two thousand, eight hundred seventy-two".