718272 has 84 divisors (see below), whose sum is σ = 2179320. Its totient is φ = 225792.

The previous prime is 718271. The next prime is 718303. The reversal of 718272 is 272817.

718272 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (718271) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16683 + ... + 16725.

2⁷¹⁸²⁷² is an apocalyptic number.

718272 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 718272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1089660).

718272 is an abundant number, since it is smaller than the sum of its proper divisors (1461048).

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

718272 is a wasteful number, since it uses less digits than its factorization.

718272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90 (or 77 counting only the distinct ones).

The product of its digits is 1568, while the sum is 27.

The square root of 718272 is about 847.5092919845. The cubic root of 718272 is about 89.5563350166.

It can be divided in two parts, 718 and 272, that added together give a triangular number (990 = T₄₄).

The spelling of 718272 in words is "seven hundred eighteen thousand, two hundred seventy-two".