272772 has 18 divisors (see below), whose sum is σ = 689598. Its totient is φ = 90912.

The previous prime is 272771. The next prime is 272777. The reversal of 272772 is 277272.

It can be written as a sum of positive squares in only one way, i.e., 147456 + 125316 = 384^2 + 354^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 272772.

It is not an unprimeable number, because it can be changed into a prime (272771) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3753 + ... + 3824.

It is an arithmetic number, because the mean of its divisors is an integer number (38311).

2²⁷²⁷⁷² is an apocalyptic number.

It is an amenable number.

272772 is an abundant number, since it is smaller than the sum of its proper divisors (416826).

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

272772 is a wasteful number, since it uses less digits than its factorization.

272772 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7587 (or 7582 counting only the distinct ones).

The product of its digits is 2744, while the sum is 27.

The square root of 272772 is about 522.2757892149. The cubic root of 272772 is about 64.8534766606.

The spelling of 272772 in words is "two hundred seventy-two thousand, seven hundred seventy-two", and thus it is an iban number.