527617272 has 128 divisors (see below), whose sum is σ = 1676021760. Its totient is φ = 134645760.

The previous prime is 527617177. The next prime is 527617273. The reversal of 527617272 is 272716725.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 527617272.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (527617273) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 63808 + ... + 71600.

It is an arithmetic number, because the mean of its divisors is an integer number (13093920).

Almost surely, 2^527617272 is an apocalyptic number.

527617272 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 527617272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (838010880).

527617272 is an abundant number, since it is smaller than the sum of its proper divisors (1148404488).

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

527617272 is a wasteful number, since it uses less digits than its factorization.

527617272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7853 (or 7849 counting only the distinct ones).

The product of its digits is 82320, while the sum is 39.

The square root of 527617272 is about 22969.9210272913. The cubic root of 527617272 is about 808.0526670568.

The spelling of 527617272 in words is "five hundred twenty-seven million, six hundred seventeen thousand, two hundred seventy-two".