52726800 has 120 divisors (see below), whose sum is σ = 193061056. Its totient is φ = 12049920.

The previous prime is 52726799. The next prime is 52726811. The reversal of 52726800 is 862725.

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

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5262 + ... + 11538.

Almost surely, 2^52726800 is an apocalyptic number.

52726800 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 52726800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96530528).

52726800 is an abundant number, since it is smaller than the sum of its proper divisors (140334256).

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

52726800 is a wasteful number, since it uses less digits than its factorization.

52726800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6305 (or 6294 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 30.

The square root of 52726800 is about 7261.3221936504. The cubic root of 52726800 is about 374.9820435846.

The spelling of 52726800 in words is "fifty-two million, seven hundred twenty-six thousand, eight hundred".