713728 has 44 divisors (see below), whose sum is σ = 1547532. Its totient is φ = 327680.

The previous prime is 713681. The next prime is 713737. The reversal of 713728 is 827317.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 262144 + 451584 = 512^2 + 672^2 .

It is a junction number, because it is equal to n+sod(n) for n = 713696 and 713705.

It is an unprimeable number.

713728 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 17388 + ... + 17428.

2⁷¹³⁷²⁸ 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 713728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (773766).

713728 is an abundant number, since it is smaller than the sum of its proper divisors (833804).

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

713728 is a wasteful number, since it uses less digits than its factorization.

713728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78 (or 60 counting only the distinct ones).

The product of its digits is 2352, while the sum is 28.

The square root of 713728 is about 844.8242420764. The cubic root of 713728 is about 89.3670821225.

It can be divided in two parts, 713 and 728, that added together give a palindrome (1441).

The spelling of 713728 in words is "seven hundred thirteen thousand, seven hundred twenty-eight".