4875075072 has 300 divisors, whose sum is σ = 16933514400. Its totient is φ = 1392297984.

The previous prime is 4875075071. The next prime is 4875075089. The reversal of 4875075072 is 2705705784.

4875075072 is a `hidden beast` number, since 487 + 50 + 7 + 50 + 72 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4875075071) 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 29 ways as a sum of consecutive naturals, for example, 2030929 + ... + 2033327.

It is an arithmetic number, because the mean of its divisors is an integer number (56445048).

Almost surely, 2^4875075072 is an apocalyptic number.

4875075072 is a gapful number since it is divisible by the number (42) 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 4875075072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8466757200).

4875075072 is an abundant number, since it is smaller than the sum of its proper divisors (12058439328).

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

4875075072 is an equidigital number, since it uses as much as digits as its factorization.

4875075072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2443 (or 2411 counting only the distinct ones).

The product of its (nonzero) digits is 548800, while the sum is 45.

The square root of 4875075072 is about 69821.7378185333. The cubic root of 4875075072 is about 1695.6144252240.

The spelling of 4875075072 in words is "four billion, eight hundred seventy-five million, seventy-five thousand, seventy-two".