7133200 has 60 divisors (see below), whose sum is σ = 18162900. Its totient is φ = 2682880.

The previous prime is 7133177. The next prime is 7133201. The reversal of 7133200 is 23317.

It can be written as a sum of positive squares in 6 ways, for example, as 414736 + 6718464 = 644^2 + 2592^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (7133201) 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, 6276 + ... + 7324.

It is an arithmetic number, because the mean of its divisors is an integer number (302715).

Almost surely, 2^7133200 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 7133200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9081450).

7133200 is an abundant number, since it is smaller than the sum of its proper divisors (11029700).

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

7133200 is a wasteful number, since it uses less digits than its factorization.

7133200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1084 (or 1073 counting only the distinct ones).

The product of its (nonzero) digits is 126, while the sum is 16.

The square root of 7133200 is about 2670.8051220559. The cubic root of 7133200 is about 192.4988474660.

Adding to 7133200 its reverse (23317), we get a palindrome (7156517).

The spelling of 7133200 in words is "seven million, one hundred thirty-three thousand, two hundred".