7003872000 has 432 divisors, whose sum is σ = 25592662368. Its totient is φ = 1838899200.

The previous prime is 7003871989. The next prime is 7003872013. The reversal of 7003872000 is 2783007.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 23903854 + ... + 23904146.

It is an arithmetic number, because the mean of its divisors is an integer number (59242274).

Almost surely, 2^7003872000 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 7003872000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12796331184).

7003872000 is an abundant number, since it is smaller than the sum of its proper divisors (18588790368).

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

7003872000 is a wasteful number, since it uses less digits than its factorization.

7003872000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 413 (or 386 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The square root of 7003872000 is about 83689.1390802893. The cubic root of 7003872000 is about 1913.2838258330.

The spelling of 7003872000 in words is "seven billion, three million, eight hundred seventy-two thousand".