261238272 has 80 divisors (see below), whose sum is σ = 709307280. Its totient is φ = 85409792.

The previous prime is 261238249. The next prime is 261238283. The reversal of 261238272 is 272832162.

261238272 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 79804 + ... + 83012.

It is an arithmetic number, because the mean of its divisors is an integer number (8866341).

Almost surely, 2^261238272 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 261238272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (354653640).

261238272 is an abundant number, since it is smaller than the sum of its proper divisors (448069008).

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

261238272 is an equidigital number, since it uses as much as digits as its factorization.

261238272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3283 (or 3267 counting only the distinct ones).

The product of its digits is 16128, while the sum is 33.

The square root of 261238272 is about 16162.8670723978. The cubic root of 261238272 is about 639.2620661400.

The spelling of 261238272 in words is "two hundred sixty-one million, two hundred thirty-eight thousand, two hundred seventy-two".