832531072 has 128 divisors (see below), whose sum is σ = 1850688000. Its totient is φ = 371245056.

The previous prime is 832531033. The next prime is 832531081. The reversal of 832531072 is 270135238.

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, 4985133 + ... + 4985299.

It is an arithmetic number, because the mean of its divisors is an integer number (14458500).

Almost surely, 2^832531072 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 832531072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (925344000).

832531072 is an abundant number, since it is smaller than the sum of its proper divisors (1018156928).

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

832531072 is a wasteful number, since it uses less digits than its factorization.

832531072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 306 (or 294 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 31.

The square root of 832531072 is about 28853.6145396032. The cubic root of 832531072 is about 940.7339491938.

The spelling of 832531072 in words is "eight hundred thirty-two million, five hundred thirty-one thousand, seventy-two".