52675200 has 288 divisors, whose sum is σ = 197308800. Its totient is φ = 13363200.

The previous prime is 52675177. The next prime is 52675211. The reversal of 52675200 is 257625.

It is a tau number, because it is divible by the number of its divisors (288).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 892771 + ... + 892829.

It is an arithmetic number, because the mean of its divisors is an integer number (685100).

Almost surely, 2^52675200 is an apocalyptic number.

52675200 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 52675200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98654400).

52675200 is an abundant number, since it is smaller than the sum of its proper divisors (144633600).

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

52675200 is a wasteful number, since it uses less digits than its factorization.

52675200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 27.

The square root of 52675200 is about 7257.7682520180. The cubic root of 52675200 is about 374.8596808346.

The spelling of 52675200 in words is "fifty-two million, six hundred seventy-five thousand, two hundred".