832532772 has 48 divisors (see below), whose sum is σ = 2072613312. Its totient is φ = 259184640.

The previous prime is 832532719. The next prime is 832532773. The reversal of 832532772 is 277235238.

832532772 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×832532772² = 1386221632908007968, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 832532772.

It is not an unprimeable number, because it can be changed into a prime (832532773) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11148 + ... + 42300.

It is an arithmetic number, because the mean of its divisors is an integer number (43179444).

Almost surely, 2^832532772 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 832532772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1036306656).

832532772 is an abundant number, since it is smaller than the sum of its proper divisors (1240080540).

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

832532772 is a wasteful number, since it uses less digits than its factorization.

832532772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31308 (or 31306 counting only the distinct ones).

The product of its digits is 141120, while the sum is 39.

The square root of 832532772 is about 28853.6439986356. The cubic root of 832532772 is about 940.7345895089.

The spelling of 832532772 in words is "eight hundred thirty-two million, five hundred thirty-two thousand, seven hundred seventy-two".