272118 has 64 divisors (see below), whose sum is σ = 737280. Its totient is φ = 64800.

The previous prime is 272093. The next prime is 272131. The reversal of 272118 is 811272.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 272094 and 272103.

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 272118.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8763 + ... + 8793.

It is an arithmetic number, because the mean of its divisors is an integer number (11520).

2²⁷²¹¹⁸ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 272118, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (368640).

272118 is an abundant number, since it is smaller than the sum of its proper divisors (465162).

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

272118 is a wasteful number, since it uses less digits than its factorization.

272118 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73.

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

The square root of 272118 is about 521.6493074854. The cubic root of 272118 is about 64.8016041365.

It can be divided in two parts, 27 and 2118, that added together give a triangular number (2145 = T₆₅).

The spelling of 272118 in words is "two hundred seventy-two thousand, one hundred eighteen".