7089200 has 60 divisors (see below), whose sum is σ = 17528640. Its totient is φ = 2753280.

The previous prime is 7089193. The next prime is 7089209. The reversal of 7089200 is 29807.

It is a zygodrome in base 3.

It is a self number, because there is not a number n which added to its sum of digits gives 7089200.

It is not an unprimeable number, because it can be changed into a prime (7089209) 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, 14561 + ... + 15039.

It is an arithmetic number, because the mean of its divisors is an integer number (292144).

Almost surely, 2^7089200 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 7089200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8764320).

7089200 is an abundant number, since it is smaller than the sum of its proper divisors (10439440).

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

7089200 is a wasteful number, since it uses less digits than its factorization.

7089200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 534 (or 523 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 26.

The square root of 7089200 is about 2662.5551637478. Note that the first 3 decimals coincide. The cubic root of 7089200 is about 192.1022314363.

The spelling of 7089200 in words is "seven million, eighty-nine thousand, two hundred".