832887072 has 72 divisors (see below), whose sum is σ = 2397127824. Its totient is φ = 274276224.

The previous prime is 832887071. The next prime is 832887089. The reversal of 832887072 is 270788238.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-3 number, since 3×832887072³ (a number of 28 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (832887071) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6483 + ... + 41325.

It is an arithmetic number, because the mean of its divisors is an integer number (33293442).

Almost surely, 2^832887072 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 832887072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1198563912).

832887072 is an abundant number, since it is smaller than the sum of its proper divisors (1564240752).

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

832887072 is a wasteful number, since it uses less digits than its factorization.

832887072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34942 (or 34931 counting only the distinct ones).

The product of its (nonzero) digits is 301056, while the sum is 45.

The square root of 832887072 is about 28859.7829513668. The cubic root of 832887072 is about 940.8680196899.

The spelling of 832887072 in words is "eight hundred thirty-two million, eight hundred eighty-seven thousand, seventy-two".