7127200 has 72 divisors (see below), whose sum is σ = 17811360. Its totient is φ = 2784000.

The previous prime is 7127177. The next prime is 7127201. The reversal of 7127200 is 27217.

7127200 is a nontrivial binomial coefficient, being equal to C(3776, 2).

It is not an unprimeable number, because it can be changed into a prime (7127201) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 47125 + ... + 47275.

It is an arithmetic number, because the mean of its divisors is an integer number (247380).

Almost surely, 2^7127200 is an apocalyptic number.

7127200 is the 3775-th triangular number and also the 1888-th hexagonal number.

7127200 is the 1259-th centered nonagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7127200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8905680).

7127200 is an abundant number, since it is smaller than the sum of its proper divisors (10684160).

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

7127200 is a wasteful number, since it uses less digits than its factorization.

7127200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 230 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 196, while the sum is 19.

The square root of 7127200 is about 2669.6816289588. The cubic root of 7127200 is about 192.4448596778. Note that the first 3 decimals are identical.

The spelling of 7127200 in words is "seven million, one hundred twenty-seven thousand, two hundred".