7200 has 54 divisors (see below), whose sum is σ = 25389. Its totient is φ = 1920.

The previous prime is 7193. The next prime is 7207. The reversal of 7200 is 27.

Adding to 7200 its reverse (27), we get a palindrome (7227).

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

7200 is an esthetic number in base 11, because in such base its adjacent digits differ by 1.

It is an interprime number because it is at equal distance from previous prime (7193) and next prime (7207).

It can be written as a sum of positive squares in 2 ways, for example, as 7056 + 144 = 84^2 + 12^2 .

It is an ABA number since it can be written as A⋅B^{A}, here for A=2, B=60.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a plaindrome in base 13.

It is a nialpdrome in base 6, base 10, base 12 and base 15.

It is a zygodrome in base 15.

It is not an unprimeable number, because it can be changed into a prime (7207) by changing a digit.

7200 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1438 + ... + 1442.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7200

7200 is an abundant number, since it is smaller than the sum of its proper divisors (18189).

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

7200 is a wasteful number, since it uses less digits than its factorization.

7200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26 (or 10 counting only the distinct ones).

The product of its (nonzero) digits is 14, while the sum is 9.

The square root of 7200 is about 84.8528137424. The cubic root of 7200 is about 19.3097876921.

The spelling of 7200 in words is "seven thousand, two hundred", and thus it is an iban number.

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 30 32 36 40 45 48 50 60 72 75 80 90 96 100 120 144 150 160 180 200 225 240 288 300 360 400 450 480 600 720 800 900 1200 1440 1800 2400 3600 7200

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