52075200 has 168 divisors, whose sum is σ = 180157120. Its totient is φ = 13132800.

The previous prime is 52075171. The next prime is 52075211. The reversal of 52075200 is 257025.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 90915 + ... + 91485.

Almost surely, 2^52075200 is an apocalyptic number.

52075200 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 52075200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90078560).

52075200 is an abundant number, since it is smaller than the sum of its proper divisors (128081920).

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

52075200 is a wasteful number, since it uses less digits than its factorization.

52075200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 615 (or 600 counting only the distinct ones).

The product of its (nonzero) digits is 700, while the sum is 21.

The square root of 52075200 is about 7216.3148490071. The cubic root of 52075200 is about 373.4309551965.

The spelling of 52075200 in words is "fifty-two million, seventy-five thousand, two hundred".