7133088072 has 256 divisors, whose sum is σ = 22631270400. Its totient is φ = 1843015680.

The previous prime is 7133088013. The next prime is 7133088077. The reversal of 7133088072 is 2708803317.

It is a self number, because there is not a number n which added to its sum of digits gives 7133088072.

It is not an unprimeable number, because it can be changed into a prime (7133088077) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1959438 + ... + 1963074.

It is an arithmetic number, because the mean of its divisors is an integer number (88403400).

Almost surely, 2^7133088072 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 7133088072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11315635200).

7133088072 is an abundant number, since it is smaller than the sum of its proper divisors (15498182328).

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

7133088072 is a wasteful number, since it uses less digits than its factorization.

7133088072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3716 (or 3712 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 39.

The square root of 7133088072 is about 84457.6110957444. The cubic root of 7133088072 is about 1924.9784061894.

The spelling of 7133088072 in words is "seven billion, one hundred thirty-three million, eighty-eight thousand, seventy-two".