712628 has 24 divisors (see below), whose sum is σ = 1473024. Its totient is φ = 295200.

The previous prime is 712603. The next prime is 712631. The reversal of 712628 is 826217.

It is a Smith number, since the sum of its digits (26) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 712597 and 712606.

It is a congruent number.

It is an unprimeable number.

712628 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 (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 458 + ... + 1278.

It is an arithmetic number, because the mean of its divisors is an integer number (61376).

2⁷¹²⁶²⁸ 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 712628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (736512).

712628 is an abundant number, since it is smaller than the sum of its proper divisors (760396).

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

712628 is a wasteful number, since it uses less digits than its factorization.

712628 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 863 (or 861 counting only the distinct ones).

The product of its digits is 1344, while the sum is 26.

The square root of 712628 is about 844.1729680581. The cubic root of 712628 is about 89.3211475668.

The spelling of 712628 in words is "seven hundred twelve thousand, six hundred twenty-eight".