3006207072 has 72 divisors (see below), whose sum is σ = 9326084040. Its totient is φ = 910970880.

The previous prime is 3006207067. The next prime is 3006207073. The reversal of 3006207072 is 2707026003.

3006207072 is a `hidden beast` number, since 30 + 0 + 620 + 7 + 0 + 7 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3006207073) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 471297 + ... + 477632.

It is an arithmetic number, because the mean of its divisors is an integer number (129528945).

Almost surely, 2^3006207072 is an apocalyptic number.

3006207072 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

3006207072 is an abundant number, since it is smaller than the sum of its proper divisors (6319876968).

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

3006207072 is a wasteful number, since it uses less digits than its factorization.

3006207072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 948956 (or 948945 counting only the distinct ones).

The product of its (nonzero) digits is 3528, while the sum is 27.

The square root of 3006207072 is about 54828.8890275920. The cubic root of 3006207072 is about 1443.2435680789.

The spelling of 3006207072 in words is "three billion, six million, two hundred seven thousand, seventy-two".