716832 has 72 divisors (see below), whose sum is σ = 2162160. Its totient is φ = 224640.

The previous prime is 716827. The next prime is 716857. The reversal of 716832 is 238617.

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

It is a junction number, because it is equal to n+sod(n) for n = 716796 and 716805.

It is an unprimeable number.

716832 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5407 + ... + 5537.

It is an arithmetic number, because the mean of its divisors is an integer number (30030).

2⁷¹⁶⁸³² is an apocalyptic number.

716832 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 716832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1081080).

716832 is an abundant number, since it is smaller than the sum of its proper divisors (1445328).

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

716832 is a wasteful number, since it uses less digits than its factorization.

716832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166 (or 155 counting only the distinct ones).

The product of its digits is 2016, while the sum is 27.

The square root of 716832 is about 846.6593175534. The cubic root of 716832 is about 89.4964471192.

It can be divided in two parts, 71 and 6832, that added together give a triangular number (6903 = T₁₁₇).

The spelling of 716832 in words is "seven hundred sixteen thousand, eight hundred thirty-two".