272180 has 24 divisors (see below), whose sum is σ = 591360. Its totient is φ = 105120.

The previous prime is 272179. The next prime is 272183. The reversal of 272180 is 81272.

It is a Harshad number since it is a multiple of its sum of digits (20).

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 272180.

It is not an unprimeable number, because it can be changed into a prime (272183) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 401 + ... + 839.

It is an arithmetic number, because the mean of its divisors is an integer number (24640).

2²⁷²¹⁸⁰ is an apocalyptic number.

272180 is a gapful number since it is divisible by the number (20) 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 272180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (295680).

272180 is an abundant number, since it is smaller than the sum of its proper divisors (319180).

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

272180 is a wasteful number, since it uses less digits than its factorization.

272180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 479 (or 477 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 20.

The square root of 272180 is about 521.7087309984. The cubic root of 272180 is about 64.8065252790.

The spelling of 272180 in words is "two hundred seventy-two thousand, one hundred eighty".