718144 has 42 divisors (see below), whose sum is σ = 1664970. Its totient is φ = 306432.

The previous prime is 718139. The next prime is 718163. The reversal of 718144 is 441817.

It can be written as a sum of positive squares in only one way, i.e., 705600 + 12544 = 840^2 + 112^2 .

It is a nude number because it is divisible by every one of its digits.

It is a zygodrome in base 4.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3022 + ... + 3250.

2⁷¹⁸¹⁴⁴ 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 718144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (832485).

718144 is an abundant number, since it is smaller than the sum of its proper divisors (946826).

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

718144 is a wasteful number, since it uses less digits than its factorization.

718144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 255 (or 238 counting only the distinct ones).

The product of its digits is 896, while the sum is 25.

The square root of 718144 is about 847.4337732236. The cubic root of 718144 is about 89.5510148910.

It can be divided in two parts, 7181 and 44, that added together give a square (7225 = 85²).

The spelling of 718144 in words is "seven hundred eighteen thousand, one hundred forty-four".