52357200 has 240 divisors, whose sum is σ = 200749056. Its totient is φ = 11404800.

The previous prime is 52357189. The next prime is 52357213. The reversal of 52357200 is 275325.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 193065 + ... + 193335.

Almost surely, 2^52357200 is an apocalyptic number.

52357200 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 52357200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100374528).

52357200 is an abundant number, since it is smaller than the sum of its proper divisors (148391856).

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

52357200 is a wasteful number, since it uses less digits than its factorization.

52357200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 322 (or 311 counting only the distinct ones).

The product of its (nonzero) digits is 2100, while the sum is 24.

The square root of 52357200 is about 7235.8275269661. The cubic root of 52357200 is about 374.1038155374.

The spelling of 52357200 in words is "fifty-two million, three hundred fifty-seven thousand, two hundred".