261533272 has 96 divisors (see below), whose sum is σ = 663616800. Its totient is φ = 94026240.

The previous prime is 261533221. The next prime is 261533297. The reversal of 261533272 is 272335162.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 86604 + ... + 89572.

It is an arithmetic number, because the mean of its divisors is an integer number (6912675).

Almost surely, 2^261533272 is an apocalyptic number.

261533272 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 261533272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (331808400).

261533272 is an abundant number, since it is smaller than the sum of its proper divisors (402083528).

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

261533272 is a wasteful number, since it uses less digits than its factorization.

261533272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3017 (or 3002 counting only the distinct ones).

The product of its digits is 15120, while the sum is 31.

The square root of 261533272 is about 16171.9903536949. The cubic root of 261533272 is about 639.5026018111.

The spelling of 261533272 in words is "two hundred sixty-one million, five hundred thirty-three thousand, two hundred seventy-two".