7125600 has 72 divisors (see below), whose sum is σ = 23201640. Its totient is φ = 1899520.

The previous prime is 7125583. The next prime is 7125611. The reversal of 7125600 is 65217.

It is a zygodrome in base 5.

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 916 + ... + 3884.

It is an arithmetic number, because the mean of its divisors is an integer number (322245).

Almost surely, 2^7125600 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 7125600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11600820).

7125600 is an abundant number, since it is smaller than the sum of its proper divisors (16076040).

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

7125600 is a wasteful number, since it uses less digits than its factorization.

7125600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2992 (or 2979 counting only the distinct ones).

The product of its (nonzero) digits is 420, while the sum is 21.

The square root of 7125600 is about 2669.3819509392. The cubic root of 7125600 is about 192.4304578173.

The spelling of 7125600 in words is "seven million, one hundred twenty-five thousand, six hundred".