7288200 has 72 divisors (see below), whose sum is σ = 24482250. Its totient is φ = 1943040.

The previous prime is 7288181. The next prime is 7288213. The reversal of 7288200 is 28827.

7288200 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 4485924 + 2802276 = 2118^2 + 1674^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 225 + ... + 3824.

Almost surely, 2^7288200 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 7288200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12241125).

7288200 is an abundant number, since it is smaller than the sum of its proper divisors (17194050).

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

7288200 is a wasteful number, since it uses less digits than its factorization.

7288200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4071 (or 4059 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 7288200 is about 2699.6666460880. Note that the first 4 decimals coincide. The cubic root of 7288200 is about 193.8831620137.

It can be divided in two parts, 72 and 88200, that multiplied together give a square (6350400 = 2520²).

The spelling of 7288200 in words is "seven million, two hundred eighty-eight thousand, two hundred".