527188272 has 80 divisors (see below), whose sum is σ = 1475738880. Its totient is φ = 161208576.

The previous prime is 527188253. The next prime is 527188273. The reversal of 527188272 is 272881725.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (527188273) 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 15 ways as a sum of consecutive naturals, for example, 101679 + ... + 106737.

It is an arithmetic number, because the mean of its divisors is an integer number (18446736).

Almost surely, 2^527188272 is an apocalyptic number.

527188272 is a gapful number since it is divisible by the number (52) 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 527188272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (737869440).

527188272 is an abundant number, since it is smaller than the sum of its proper divisors (948550608).

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

527188272 is a wasteful number, since it uses less digits than its factorization.

527188272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5250 (or 5244 counting only the distinct ones).

The product of its digits is 125440, while the sum is 42.

The square root of 527188272 is about 22960.5808288902. The cubic root of 527188272 is about 807.8336013257.

The spelling of 527188272 in words is "five hundred twenty-seven million, one hundred eighty-eight thousand, two hundred seventy-two".