832006272 has 128 divisors (see below), whose sum is σ = 2344204800. Its totient is φ = 260997120.

The previous prime is 832006229. The next prime is 832006289. The reversal of 832006272 is 272600238.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 439504 + ... + 441392.

It is an arithmetic number, because the mean of its divisors is an integer number (18314100).

Almost surely, 2^832006272 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 832006272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1172102400).

832006272 is an abundant number, since it is smaller than the sum of its proper divisors (1512198528).

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

832006272 is a wasteful number, since it uses less digits than its factorization.

832006272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1974 (or 1962 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 832006272 is about 28844.5189247455. The cubic root of 832006272 is about 940.5362384752.

The spelling of 832006272 in words is "eight hundred thirty-two million, six thousand, two hundred seventy-two".