272617268 has 48 divisors (see below), whose sum is σ = 597953664. Its totient is φ = 105651840.

The previous prime is 272617237. The next prime is 272617271. The reversal of 272617268 is 862716272.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 58430 + ... + 62922.

It is an arithmetic number, because the mean of its divisors is an integer number (12457368).

Almost surely, 2^272617268 is an apocalyptic number.

272617268 is a gapful number since it is divisible by the number (28) 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 272617268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (298976832).

272617268 is an abundant number, since it is smaller than the sum of its proper divisors (325336396).

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

272617268 is a wasteful number, since it uses less digits than its factorization.

272617268 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4712 (or 4710 counting only the distinct ones).

The product of its digits is 112896, while the sum is 41.

The square root of 272617268 is about 16511.1255824671. The cubic root of 272617268 is about 648.4121146453.

The spelling of 272617268 in words is "two hundred seventy-two million, six hundred seventeen thousand, two hundred sixty-eight".