527272200 has 768 divisors, whose sum is σ = 2374848000. Its totient is φ = 104509440.

The previous prime is 527272189. The next prime is 527272201. The reversal of 527272200 is 2272725.

It is a happy number.

It is a super-3 number, since 3×527272200³ (a number of 27 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (527272201) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 14250582 + ... + 14250618.

It is an arithmetic number, because the mean of its divisors is an integer number (3092250).

Almost surely, 2^527272200 is an apocalyptic number.

527272200 is a gapful number since it is divisible by the number (50) 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 527272200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1187424000).

527272200 is an abundant number, since it is smaller than the sum of its proper divisors (1847575800).

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

527272200 is a wasteful number, since it uses less digits than its factorization.

527272200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 3920, while the sum is 27.

The square root of 527272200 is about 22962.4084102692. The cubic root of 527272200 is about 807.8764678969.

527272200 divided by its reverse (2272725) gives a palindrome (232).

The spelling of 527272200 in words is "five hundred twenty-seven million, two hundred seventy-two thousand, two hundred".