527152720 has 80 divisors (see below), whose sum is σ = 1334736000. Its totient is φ = 192858624.

The previous prime is 527152693. The next prime is 527152721. The reversal of 527152720 is 27251725.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (527152721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 38101 + ... + 50059.

It is an arithmetic number, because the mean of its divisors is an integer number (16684200).

Almost surely, 2^527152720 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 527152720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (667368000).

527152720 is an abundant number, since it is smaller than the sum of its proper divisors (807583280).

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

527152720 is a wasteful number, since it uses less digits than its factorization.

527152720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12020 (or 12014 counting only the distinct ones).

The product of its (nonzero) digits is 9800, while the sum is 31.

The square root of 527152720 is about 22959.8066193947. The cubic root of 527152720 is about 807.8154416236.

The spelling of 527152720 in words is "five hundred twenty-seven million, one hundred fifty-two thousand, seven hundred twenty".