7275225600 has 360 divisors, whose sum is σ = 27011864880. Its totient is φ = 1939230720.

The previous prime is 7275225593. The next prime is 7275225653. The reversal of 7275225600 is 65225727.

7275225600 is a `hidden beast` number, since 7 + 2 + 75 + 22 + 560 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3109231 + ... + 3111569.

It is an arithmetic number, because the mean of its divisors is an integer number (75032958).

Almost surely, 2^7275225600 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 7275225600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13505932440).

7275225600 is an abundant number, since it is smaller than the sum of its proper divisors (19736639280).

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

7275225600 is an equidigital number, since it uses as much as digits as its factorization.

7275225600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2382 (or 2349 counting only the distinct ones).

The product of its (nonzero) digits is 58800, while the sum is 36.

The square root of 7275225600 is about 85294.9330265286. The cubic root of 7275225600 is about 1937.6804388318.

The spelling of 7275225600 in words is "seven billion, two hundred seventy-five million, two hundred twenty-five thousand, six hundred".