715728 has 80 divisors (see below), whose sum is σ = 2110976. Its totient is φ = 207360.

The previous prime is 715727. The next prime is 715739. The reversal of 715728 is 827517.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 715695 and 715704.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (715727) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19326 + ... + 19362.

2⁷¹⁵⁷²⁸ is an apocalyptic number.

715728 is a gapful number since it is divisible by the number (78) 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 715728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1055488).

715728 is an abundant number, since it is smaller than the sum of its proper divisors (1395248).

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

715728 is a wasteful number, since it uses less digits than its factorization.

715728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92 (or 86 counting only the distinct ones).

The product of its digits is 3920, while the sum is 30.

The square root of 715728 is about 846.0070921689. The cubic root of 715728 is about 89.4504787268.

The spelling of 715728 in words is "seven hundred fifteen thousand, seven hundred twenty-eight".