831072 has 48 divisors (see below), whose sum is σ = 2382912. Its totient is φ = 251520.

The previous prime is 831071. The next prime is 831073. The reversal of 831072 is 270138.

It is an interprime number because it is at equal distance from previous prime (831071) and next prime (831073).

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (831071) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 663 + ... + 1449.

It is an arithmetic number, because the mean of its divisors is an integer number (49644).

2⁸³¹⁰⁷² 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 831072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1191456).

831072 is an abundant number, since it is smaller than the sum of its proper divisors (1551840).

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

831072 is a wasteful number, since it uses less digits than its factorization.

831072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 811 (or 803 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 21.

The square root of 831072 is about 911.6315045017. The cubic root of 831072 is about 94.0184059325.

The spelling of 831072 in words is "eight hundred thirty-one thousand, seventy-two".