527572000 has 48 divisors (see below), whose sum is σ = 1296254232. Its totient is φ = 211027200.

The previous prime is 527571983. The next prime is 527572007. The reversal of 527572000 is 275725.

It can be written as a sum of positive squares in 4 ways, for example, as 128051856 + 399520144 = 11316^2 + 19988^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 527572000.

It is not an unprimeable number, because it can be changed into a prime (527572007) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 61947 + ... + 69946.

Almost surely, 2^527572000 is an apocalyptic number.

527572000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

527572000 is an abundant number, since it is smaller than the sum of its proper divisors (768682232).

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

527572000 is a wasteful number, since it uses less digits than its factorization.

527572000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131918 (or 131900 counting only the distinct ones).

The product of its (nonzero) digits is 4900, while the sum is 28.

The square root of 527572000 is about 22968.9355434683. The cubic root of 527572000 is about 808.0295548448.

The spelling of 527572000 in words is "five hundred twenty-seven million, five hundred seventy-two thousand".