712728 has 48 divisors (see below), whose sum is σ = 2035800. Its totient is φ = 224640.

The previous prime is 712717. The next prime is 712739. The reversal of 712728 is 827217.

It is an interprime number because it is at equal distance from previous prime (712717) and next prime (712739).

It is a congruent number.

It is an unprimeable 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, 1108 + ... + 1628.

2⁷¹²⁷²⁸ 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 712728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1017900).

712728 is an abundant number, since it is smaller than the sum of its proper divisors (1323072).

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

712728 is a wasteful number, since it uses less digits than its factorization.

712728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 552 (or 545 counting only the distinct ones).

The product of its digits is 1568, while the sum is 27.

The square root of 712728 is about 844.2321955481. The cubic root of 712728 is about 89.3253253880.

The spelling of 712728 in words is "seven hundred twelve thousand, seven hundred twenty-eight".