52723200 has 120 divisors (see below), whose sum is σ = 174294648. Its totient is φ = 14049280.

The previous prime is 52723169. The next prime is 52723207. The reversal of 52723200 is 232725.

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52723207) 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, 37714 + ... + 39086.

Almost surely, 2^52723200 is an apocalyptic number.

52723200 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 52723200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87147324).

52723200 is an abundant number, since it is smaller than the sum of its proper divisors (121571448).

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

52723200 is a wasteful number, since it uses less digits than its factorization.

52723200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1404 (or 1383 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 21.

The square root of 52723200 is about 7261.0743006803. The cubic root of 52723200 is about 374.9735092398.

Adding to 52723200 its reverse (232725), we get a palindrome (52955925).

The spelling of 52723200 in words is "fifty-two million, seven hundred twenty-three thousand, two hundred".