52577200 has 60 divisors (see below), whose sum is σ = 136046848. Its totient is φ = 19411200.

The previous prime is 52577179. The next prime is 52577207. The reversal of 52577200 is 277525.

It is not an unprimeable number, because it can be changed into a prime (52577207) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 145 + ... + 10255.

Almost surely, 2^52577200 is an apocalyptic number.

52577200 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 52577200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68023424).

52577200 is an abundant number, since it is smaller than the sum of its proper divisors (83469648).

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

52577200 is a wasteful number, since it uses less digits than its factorization.

52577200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10142 (or 10131 counting only the distinct ones).

The product of its (nonzero) digits is 4900, while the sum is 28.

The square root of 52577200 is about 7251.0137222322. The cubic root of 52577200 is about 374.6270662812.

The spelling of 52577200 in words is "fifty-two million, five hundred seventy-seven thousand, two hundred".