52345200 has 120 divisors (see below), whose sum is σ = 169305136. Its totient is φ = 13824000.

The previous prime is 52345187. The next prime is 52345201. The reversal of 52345200 is 254325.

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52345201) 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, 217080 + ... + 217320.

Almost surely, 2^52345200 is an apocalyptic number.

52345200 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 52345200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84652568).

52345200 is an abundant number, since it is smaller than the sum of its proper divisors (116959936).

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

52345200 is a wasteful number, since it uses less digits than its factorization.

52345200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 443 (or 432 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 21.

The square root of 52345200 is about 7234.9982722873. The cubic root of 52345200 is about 374.0752324658.

Adding to 52345200 its reverse (254325), we get a palindrome (52599525).

The spelling of 52345200 in words is "fifty-two million, three hundred forty-five thousand, two hundred".