52272900 has 81 divisors (see below), whose sum is σ = 164529183. Its totient is φ = 13881600.

The previous prime is 52272881. The next prime is 52272917. The reversal of 52272900 is 927225.

It is a happy number.

The square root of 52272900 is 7230.

It is a perfect power (a square), and thus also a powerful number.

52272900 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 777924 + 51494976 = 882^2 + 7176^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 216780 + ... + 217020.

Almost surely, 2^52272900 is an apocalyptic number.

52272900 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

52272900 is the 7230-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 52272900

52272900 is an abundant number, since it is smaller than the sum of its proper divisors (112256283).

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

52272900 is a wasteful number, since it uses less digits than its factorization.

52272900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 502 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The cubic root of 52272900 is about 373.9029269451.

The spelling of 52272900 in words is "fifty-two million, two hundred seventy-two thousand, nine hundred".