5272128000 has 560 divisors, whose sum is σ = 19884983976. Its totient is φ = 1393459200.

The previous prime is 5272127969. The next prime is 5272128053. The reversal of 5272128000 is 8212725.

It can be written as a sum of positive squares in 4 ways, for example, as 313714944 + 4958413056 = 17712^2 + 70416^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

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 55 ways as a sum of consecutive naturals, for example, 46655944 + ... + 46656056.

Almost surely, 2^5272128000 is an apocalyptic number.

5272128000 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 5272128000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9942491988).

5272128000 is an abundant number, since it is smaller than the sum of its proper divisors (14612855976).

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

5272128000 is an frugal number, since it uses more digits than its factorization.

5272128000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 5272128000 is about 72609.4208763574. The cubic root of 5272128000 is about 1740.4517257602.

The spelling of 5272128000 in words is "five billion, two hundred seventy-two million, one hundred twenty-eight thousand".