831715072 has 72 divisors (see below), whose sum is σ = 1767782016. Its totient is φ = 389185536.

The previous prime is 831715069. The next prime is 831715117. The reversal of 831715072 is 270517138.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 970068 + ... + 970924.

It is an arithmetic number, because the mean of its divisors is an integer number (24552528).

Almost surely, 2^831715072 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 831715072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (883891008).

831715072 is an abundant number, since it is smaller than the sum of its proper divisors (936066944).

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

831715072 is a wasteful number, since it uses less digits than its factorization.

831715072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1113 (or 1099 counting only the distinct ones).

The product of its (nonzero) digits is 11760, while the sum is 34.

The square root of 831715072 is about 28839.4707302336. The cubic root of 831715072 is about 940.4264972705.

The spelling of 831715072 in words is "eight hundred thirty-one million, seven hundred fifteen thousand, seventy-two".