53731200 has 192 divisors, whose sum is σ = 184028400. Its totient is φ = 13762560.

The previous prime is 53731187. The next prime is 53731207. The reversal of 53731200 is 213735.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53731207) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 278304 + ... + 278496.

Almost surely, 2^53731200 is an apocalyptic number.

53731200 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 53731200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92014200).

53731200 is an abundant number, since it is smaller than the sum of its proper divisors (130297200).

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

53731200 is a wasteful number, since it uses less digits than its factorization.

53731200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 249 (or 232 counting only the distinct ones).

The product of its (nonzero) digits is 630, while the sum is 21.

The square root of 53731200 is about 7330.1568878162. The cubic root of 53731200 is about 377.3481107585.

Adding to 53731200 its reverse (213735), we get a palindrome (53944935).

The spelling of 53731200 in words is "fifty-three million, seven hundred thirty-one thousand, two hundred".