832995072 has 432 divisors, whose sum is σ = 3080226240. Its totient is φ = 210567168.

The previous prime is 832995067. The next prime is 832995083. The reversal of 832995072 is 270599238.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6080188 + ... + 6080324.

Almost surely, 2^832995072 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 832995072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1540113120).

832995072 is an abundant number, since it is smaller than the sum of its proper divisors (2247231168).

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

832995072 is a wasteful number, since it uses less digits than its factorization.

832995072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The square root of 832995072 is about 28861.6540066573. The cubic root of 832995072 is about 940.9086852086.

The spelling of 832995072 in words is "eight hundred thirty-two million, nine hundred ninety-five thousand, seventy-two".