3006372 has 48 divisors (see below), whose sum is σ = 7439040. Its totient is φ = 943488.

The previous prime is 3006371. The next prime is 3006383. The reversal of 3006372 is 2736003.

It is not an unprimeable number, because it can be changed into a prime (3006371) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18363 + ... + 18525.

It is an arithmetic number, because the mean of its divisors is an integer number (154980).

Almost surely, 2^3006372 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3006372, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3719520).

3006372 is an abundant number, since it is smaller than the sum of its proper divisors (4432668).

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

3006372 is a wasteful number, since it uses less digits than its factorization.

3006372 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 252 (or 250 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 21.

The square root of 3006372 is about 1733.8892698209. The cubic root of 3006372 is about 144.3269960907.

It can be divided in two parts, 30063 and 72, that added together give a triangular number (30135 = T₂₄₅).

The spelling of 3006372 in words is "three million, six thousand, three hundred seventy-two".