5072868000 has 576 divisors, whose sum is σ = 19833061248. Its totient is φ = 1269043200.

The previous prime is 5072867999. The next prime is 5072868011. The reversal of 5072868000 is 8682705.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 16523847 + ... + 16524153.

It is an arithmetic number, because the mean of its divisors is an integer number (34432398).

Almost surely, 2^5072868000 is an apocalyptic number.

5072868000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5072868000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9916530624).

5072868000 is an abundant number, since it is smaller than the sum of its proper divisors (14760193248).

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

5072868000 is a wasteful number, since it uses less digits than its factorization.

5072868000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 364 (or 334 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 5072868000 is about 71224.0689654839. The cubic root of 5072868000 is about 1718.2427519103.

The spelling of 5072868000 in words is "five billion, seventy-two million, eight hundred sixty-eight thousand".