7128727200 has 216 divisors, whose sum is σ = 28728973728. Its totient is φ = 1629411840.

The previous prime is 7128727169. The next prime is 7128727231. The reversal of 7128727200 is 27278217.

It is an interprime number because it is at equal distance from previous prime (7128727169) and next prime (7128727231).

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 35 ways as a sum of consecutive naturals, for example, 20322 + ... + 121121.

It is an arithmetic number, because the mean of its divisors is an integer number (133004508).

Almost surely, 2^7128727200 is an apocalyptic number.

7128727200 is a gapful number since it is divisible by the number (70) 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 7128727200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14364486864).

7128727200 is an abundant number, since it is smaller than the sum of its proper divisors (21600246528).

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

7128727200 is a wasteful number, since it uses less digits than its factorization.

7128727200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141476 (or 141460 counting only the distinct ones).

The product of its (nonzero) digits is 21952, while the sum is 36.

The square root of 7128727200 is about 84431.7902214563. The cubic root of 7128727200 is about 1924.5860424321.

The spelling of 7128727200 in words is "seven billion, one hundred twenty-eight million, seven hundred twenty-seven thousand, two hundred".