53507200 has 96 divisors (see below), whose sum is σ = 138116160. Its totient is φ = 20444160.

The previous prime is 53507191. The next prime is 53507203. The reversal of 53507200 is 270535.

It is not an unprimeable number, because it can be changed into a prime (53507203) 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, 73237 + ... + 73963.

It is an arithmetic number, because the mean of its divisors is an integer number (1438710).

Almost surely, 2^53507200 is an apocalyptic number.

53507200 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 53507200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69058080).

53507200 is an abundant number, since it is smaller than the sum of its proper divisors (84608960).

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

53507200 is a wasteful number, since it uses less digits than its factorization.

53507200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 774 (or 757 counting only the distinct ones).

The product of its (nonzero) digits is 1050, while the sum is 22.

The square root of 53507200 is about 7314.8615844731. The cubic root of 53507200 is about 376.8230048627.

Adding to 53507200 its reverse (270535), we get a palindrome (53777735).

The spelling of 53507200 in words is "fifty-three million, five hundred seven thousand, two hundred".