3972512 has 24 divisors (see below), whose sum is σ = 8005536. Its totient is φ = 1939392.

The previous prime is 3972499. The next prime is 3972517. The reversal of 3972512 is 2152793.

3972512 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (3972517) 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 in 3 ways as a sum of consecutive naturals, for example, 68 + ... + 2819.

It is an arithmetic number, because the mean of its divisors is an integer number (333564).

Almost surely, 2^3972512 is an apocalyptic number.

3972512 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

3972512 is an abundant number, since it is smaller than the sum of its proper divisors (4033024).

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

3972512 is a wasteful number, since it uses less digits than its factorization.

3972512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2940 (or 2932 counting only the distinct ones).

The product of its digits is 3780, while the sum is 29.

The square root of 3972512 is about 1993.1161531632. The cubic root of 3972512 is about 158.3756484008.

The spelling of 3972512 in words is "three million, nine hundred seventy-two thousand, five hundred twelve".