272872 has 16 divisors (see below), whose sum is σ = 534240. Its totient is φ = 130416.

The previous prime is 272863. The next prime is 272879. The reversal of 272872 is 278272.

It is a d-powerful number, because it can be written as 2⁶ + 7 + 8² + 2¹³ + 7⁴ + 2¹⁸ .

It is a self number, because there is not a number n which added to its sum of digits gives 272872.

It is not an unprimeable number, because it can be changed into a prime (272879) by changing a digit.

272872 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 558 + ... + 925.

It is an arithmetic number, because the mean of its divisors is an integer number (33390).

2²⁷²⁸⁷² is an apocalyptic number.

It is an amenable number.

272872 is a deficient number, since it is larger than the sum of its proper divisors (261368).

272872 is a wasteful number, since it uses less digits than its factorization.

272872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1512 (or 1508 counting only the distinct ones).

The product of its digits is 3136, while the sum is 28.

The square root of 272872 is about 522.3715153030. The cubic root of 272872 is about 64.8614009286.

The spelling of 272872 in words is "two hundred seventy-two thousand, eight hundred seventy-two".