3927072 has 48 divisors (see below), whose sum is σ = 10856160. Its totient is φ = 1239552.

The previous prime is 3927067. The next prime is 3927073. The reversal of 3927072 is 2707293.

3927072 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (3927073) 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 7 ways as a sum of consecutive naturals, for example, 748 + ... + 2900.

It is an arithmetic number, because the mean of its divisors is an integer number (226170).

Almost surely, 2^3927072 is an apocalyptic number.

3927072 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3927072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5428080).

3927072 is an abundant number, since it is smaller than the sum of its proper divisors (6929088).

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

3927072 is a wasteful number, since it uses less digits than its factorization.

3927072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2185 (or 2177 counting only the distinct ones).

The product of its (nonzero) digits is 5292, while the sum is 30.

The square root of 3927072 is about 1981.6841322471. The cubic root of 3927072 is about 157.7694656439.

The spelling of 3927072 in words is "three million, nine hundred twenty-seven thousand, seventy-two".