3966072 has 64 divisors (see below), whose sum is σ = 11007360. Its totient is φ = 1180800.

The previous prime is 3966059. The next prime is 3966089. The reversal of 3966072 is 2706693.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21822 + ... + 22002.

It is an arithmetic number, because the mean of its divisors is an integer number (171990).

Almost surely, 2^3966072 is an apocalyptic number.

It is a pronic number, being equal to 1991×1992.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3966072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5503680).

3966072 is an abundant number, since it is smaller than the sum of its proper divisors (7041288).

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

3966072 is a wasteful number, since it uses less digits than its factorization.

3966072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 284 (or 280 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 33.

The square root of 3966072 is about 1991.4999372332. The cubic root of 3966072 is about 158.2900190537.

The spelling of 3966072 in words is "three million, nine hundred sixty-six thousand, seventy-two".