272223261 has 60 divisors (see below), whose sum is σ = 447992820. Its totient is φ = 164505600.

The previous prime is 272223257. The next prime is 272223269. The reversal of 272223261 is 162322272.

It can be written as a sum of positive squares in 6 ways, for example, as 99800100 + 172423161 = 9990^2 + 13131^2 .

It is not a de Polignac number, because 272223261 - 2² = 272223257 is a prime.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (272223269) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 678661 + ... + 679061.

It is an arithmetic number, because the mean of its divisors is an integer number (7466547).

Almost surely, 2^272223261 is an apocalyptic number.

It is an amenable number.

272223261 is a deficient number, since it is larger than the sum of its proper divisors (175769559).

272223261 is a wasteful number, since it uses less digits than its factorization.

272223261 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 476 (or 450 counting only the distinct ones).

The product of its digits is 4032, while the sum is 27.

The square root of 272223261 is about 16499.1897073765. The cubic root of 272223261 is about 648.0995860321.

It can be divided in two parts, 272223 and 261, that added together give a square (272484 = 522²).

The spelling of 272223261 in words is "two hundred seventy-two million, two hundred twenty-three thousand, two hundred sixty-one".