52726500 has 72 divisors (see below), whose sum is σ = 166348728. Its totient is φ = 14059200.

The previous prime is 52726477. The next prime is 52726529. The reversal of 52726500 is 562725.

52726500 is a `hidden beast` number, since 5 + 2 + 7 + 2 + 650 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 15492096 + 37234404 = 3936^2 + 6102^2 .

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1359 + ... + 10358.

It is an arithmetic number, because the mean of its divisors is an integer number (2310399).

Almost surely, 2^52726500 is an apocalyptic number.

52726500 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 52726500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83174364).

52726500 is an abundant number, since it is smaller than the sum of its proper divisors (113622228).

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

52726500 is a wasteful number, since it uses less digits than its factorization.

52726500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11742 (or 11727 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 27.

The square root of 52726500 is about 7261.3015362261. The cubic root of 52726500 is about 374.9813324041.

The spelling of 52726500 in words is "fifty-two million, seven hundred twenty-six thousand, five hundred".