272718 has 24 divisors (see below), whose sum is σ = 600600. Its totient is φ = 89424.

The previous prime is 272717. The next prime is 272719. The reversal of 272718 is 817272.

272718 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (272717) and next prime (272719).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 272691 and 272700.

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 272718.

It is not an unprimeable number, because it can be changed into a prime (272717) 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, 1893 + ... + 2031.

It is an arithmetic number, because the mean of its divisors is an integer number (25025).

2²⁷²⁷¹⁸ is an apocalyptic number.

272718 is an abundant number, since it is smaller than the sum of its proper divisors (327882).

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

272718 is a wasteful number, since it uses less digits than its factorization.

272718 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 256 (or 253 counting only the distinct ones).

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

The square root of 272718 is about 522.2240898312. The cubic root of 272718 is about 64.8491967506.

Subtracting from 272718 its sum of digits (27), we obtain a triangular number (272691 = T₇₃₈).

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

The spelling of 272718 in words is "two hundred seventy-two thousand, seven hundred eighteen".