261272 has 16 divisors (see below), whose sum is σ = 534600. Its totient is φ = 118720.

The previous prime is 261271. The next prime is 261281. The reversal of 261272 is 272162.

It is a nialpdrome in base 6.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (261271) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1397 + ... + 1572.

2²⁶¹²⁷² is an apocalyptic number.

261272 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

261272 is an abundant number, since it is smaller than the sum of its proper divisors (273328).

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

261272 is a wasteful number, since it uses less digits than its factorization.

261272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2986 (or 2982 counting only the distinct ones).

The product of its digits is 336, while the sum is 20.

The square root of 261272 is about 511.1477281569. The cubic root of 261272 is about 63.9289576278.

The spelling of 261272 in words is "two hundred sixty-one thousand, two hundred seventy-two".