52757200 has 30 divisors (see below), whose sum is σ = 126750134. Its totient is φ = 21102720.

The previous prime is 52757183. The next prime is 52757209. The reversal of 52757200 is 275725.

It can be written as a sum of positive squares in 3 ways, for example, as 1948816 + 50808384 = 1396^2 + 7128^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52757209) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 65547 + ... + 66346.

Almost surely, 2^52757200 is an apocalyptic number.

52757200 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

52757200 is an abundant number, since it is smaller than the sum of its proper divisors (73992934).

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

52757200 is a wasteful number, since it uses less digits than its factorization.

52757200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131911 (or 131900 counting only the distinct ones).

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

The square root of 52757200 is about 7263.4151746957. The cubic root of 52757200 is about 375.0540958997.

The spelling of 52757200 in words is "fifty-two million, seven hundred fifty-seven thousand, two hundred".