527072832 has 392 divisors, whose sum is σ = 1865619840. Its totient is φ = 145566720.

The previous prime is 527072797. The next prime is 527072869. The reversal of 527072832 is 238270725.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 6671769 + ... + 6671847.

Almost surely, 2^527072832 is an apocalyptic number.

527072832 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 527072832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (932809920).

527072832 is an abundant number, since it is smaller than the sum of its proper divisors (1338547008).

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

527072832 is a wasteful number, since it uses less digits than its factorization.

527072832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The square root of 527072832 is about 22958.0668175698. The cubic root of 527072832 is about 807.7746324376.

The spelling of 527072832 in words is "five hundred twenty-seven million, seventy-two thousand, eight hundred thirty-two".