712008 has 96 divisors (see below), whose sum is σ = 2246400. Its totient is φ = 201600.

The previous prime is 712007. The next prime is 712021. The reversal of 712008 is 800217.

712008 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (712007) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22953 + ... + 22983.

It is an arithmetic number, because the mean of its divisors is an integer number (23400).

2⁷¹²⁰⁰⁸ 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 712008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1123200).

712008 is an abundant number, since it is smaller than the sum of its proper divisors (1534392).

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

712008 is a wasteful number, since it uses less digits than its factorization.

712008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 18.

The square root of 712008 is about 843.8056648305. The cubic root of 712008 is about 89.2952363483.

Subtracting 712008 from its reverse (800217), we obtain a square (88209 = 297²).

The spelling of 712008 in words is "seven hundred twelve thousand, eight".