716128 has 48 divisors (see below), whose sum is σ = 1693440. Its totient is φ = 291456.

The previous prime is 716123. The next prime is 716137. The reversal of 716128 is 821617.

716128 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (716123) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5083 + ... + 5221.

It is an arithmetic number, because the mean of its divisors is an integer number (35280).

2⁷¹⁶¹²⁸ 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 716128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (846720).

716128 is an abundant number, since it is smaller than the sum of its proper divisors (977312).

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

716128 is a wasteful number, since it uses less digits than its factorization.

716128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179 (or 171 counting only the distinct ones).

The product of its digits is 672, while the sum is 25.

The square root of 716128 is about 846.2434637857. The cubic root of 716128 is about 89.4671393986.

It can be divided in two parts, 7 and 16128, that multiplied together give a square (112896 = 336²).

The spelling of 716128 in words is "seven hundred sixteen thousand, one hundred twenty-eight".