272484 has 45 divisors (see below), whose sum is σ = 737737. Its totient is φ = 87696.

The previous prime is 272477. The next prime is 272507. The reversal of 272484 is 484272.

The square root of 272484 is 522.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 142884 + 129600 = 378^2 + 360^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an Ulam number.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 9382 + ... + 9410.

272484 is a Friedman number, since it can be written as (87*(4+2))^(4-2), using all its digits and the basic arithmetic operations.

2²⁷²⁴⁸⁴ is an apocalyptic number.

272484 is the 522-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 272484

272484 is an abundant number, since it is smaller than the sum of its proper divisors (465253).

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

272484 is a wasteful number, since it uses less digits than its factorization.

272484 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74 (or 34 counting only the distinct ones).

The product of its digits is 3584, while the sum is 27.

The cubic root of 272484 is about 64.8306439424.

The spelling of 272484 in words is "two hundred seventy-two thousand, four hundred eighty-four".