712816 has 40 divisors (see below), whose sum is σ = 1562400. Its totient is φ = 312576.

The previous prime is 712807. The next prime is 712819. The reversal of 712816 is 618217.

It is a hoax number, since the sum of its digits (25) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (712819) by changing a digit.

712816 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 7 ways as a sum of consecutive naturals, for example, 4710 + ... + 4858.

It is an arithmetic number, because the mean of its divisors is an integer number (39060).

2⁷¹²⁸¹⁶ 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 712816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (781200).

712816 is an abundant number, since it is smaller than the sum of its proper divisors (849584).

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

712816 is a wasteful number, since it uses less digits than its factorization.

712816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193 (or 187 counting only the distinct ones).

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

The square root of 712816 is about 844.2843123024. The cubic root of 712816 is about 89.3290015473.

The spelling of 712816 in words is "seven hundred twelve thousand, eight hundred sixteen".