3003003072072 has 96 divisors (see below), whose sum is σ = 8209582399200. Its totient is φ = 991623451392.

The previous prime is 3003003072053. The next prime is 3003003072079. The reversal of 3003003072072 is 2702703003003.

It is a happy number.

3003003072072 is a `hidden beast` number, since 30 + 0 + 300 + 307 + 20 + 7 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (3003003072079) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4245363 + ... + 4901949.

It is an arithmetic number, because the mean of its divisors is an integer number (85516483325).

Almost surely, 2^{3003003072072} 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 3003003072072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4104791199600).

3003003072072 is an abundant number, since it is smaller than the sum of its proper divisors (5206579327128).

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

3003003072072 is a wasteful number, since it uses less digits than its factorization.

3003003072072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 657195 (or 657188 counting only the distinct ones).

The product of its (nonzero) digits is 5292, while the sum is 27.

Adding to 3003003072072 its reverse (2702703003003), we get a palindrome (5705706075075).

The spelling of 3003003072072 in words is "three trillion, three billion, three million, seventy-two thousand, seventy-two".