712218 has 32 divisors (see below), whose sum is σ = 1604736. Its totient is φ = 209088.

The previous prime is 712199. The next prime is 712219. The reversal of 712218 is 812217.

It is a plaindrome in base 14.

It is a junction number, because it is equal to n+sod(n) for n = 712194 and 712203.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 712218.

It is not an unprimeable number, because it can be changed into a prime (712219) 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, 1596 + ... + 1992.

It is an arithmetic number, because the mean of its divisors is an integer number (50148).

2⁷¹²²¹⁸ is an apocalyptic number.

712218 is a gapful number since it is divisible by the number (78) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 712218, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (802368).

712218 is an abundant number, since it is smaller than the sum of its proper divisors (892518).

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

712218 is a wasteful number, since it uses less digits than its factorization.

712218 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 438.

The product of its digits is 224, while the sum is 21.

The square root of 712218 is about 843.9300918915. The cubic root of 712218 is about 89.3040144127.

Subtracting 712218 from its reverse (812217), we obtain a palindrome (99999).

It can be divided in two parts, 7122 and 18, that added together give a triangular number (7140 = T₁₁₉).

The spelling of 712218 in words is "seven hundred twelve thousand, two hundred eighteen".