527722272 has 288 divisors, whose sum is σ = 1910563200. Its totient is φ = 134184960.

The previous prime is 527722271. The next prime is 527722289. The reversal of 527722272 is 272227725.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (527722271) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1175104 + ... + 1175552.

It is an arithmetic number, because the mean of its divisors is an integer number (6633900).

Almost surely, 2^527722272 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 527722272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (955281600).

527722272 is an abundant number, since it is smaller than the sum of its proper divisors (1382840928).

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

527722272 is a wasteful number, since it uses less digits than its factorization.

527722272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 536 (or 525 counting only the distinct ones).

The product of its digits is 54880, while the sum is 36.

The square root of 527722272 is about 22972.2065113476. The cubic root of 527722272 is about 808.1062664535.

Adding to 527722272 its reverse (272227725), we get a palindrome (799949997).

The spelling of 527722272 in words is "five hundred twenty-seven million, seven hundred twenty-two thousand, two hundred seventy-two".