52705800 has 288 divisors, whose sum is σ = 208915200. Its totient is φ = 11658240.

The previous prime is 52705771. The next prime is 52705801. The reversal of 52705800 is 850725.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52705801) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 592156 + ... + 592244.

It is an arithmetic number, because the mean of its divisors is an integer number (725400).

Almost surely, 2^52705800 is an apocalyptic number.

52705800 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 52705800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104457600).

52705800 is an abundant number, since it is smaller than the sum of its proper divisors (156209400).

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

52705800 is a wasteful number, since it uses less digits than its factorization.

52705800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 2800, while the sum is 27.

The square root of 52705800 is about 7259.8760319994. The cubic root of 52705800 is about 374.9322544288.

The spelling of 52705800 in words is "fifty-two million, seven hundred five thousand, eight hundred".