7725200 has 120 divisors (see below), whose sum is σ = 22141440. Its totient is φ = 2534400.

The previous prime is 7725199. The next prime is 7725239. The reversal of 7725200 is 25277.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 86756 + ... + 86844.

It is an arithmetic number, because the mean of its divisors is an integer number (184512).

Almost surely, 2^7725200 is an apocalyptic number.

7725200 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 7725200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11070720).

7725200 is an abundant number, since it is smaller than the sum of its proper divisors (14416240).

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

7725200 is a wasteful number, since it uses less digits than its factorization.

7725200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 980, while the sum is 23.

The square root of 7725200 is about 2779.4244008427. The cubic root of 7725200 is about 197.6832673703.

The spelling of 7725200 in words is "seven million, seven hundred twenty-five thousand, two hundred".