272258560 has 80 divisors (see below), whose sum is σ = 746086176. Its totient is φ = 93339648.

The previous prime is 272258557. The next prime is 272258563. The reversal of 272258560 is 65852272.

It is an interprime number because it is at equal distance from previous prime (272258557) and next prime (272258563).

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (272258563) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10324 + ... + 25516.

Almost surely, 2^272258560 is an apocalyptic number.

272258560 is a gapful number since it is divisible by the number (20) 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 272258560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (373043088).

272258560 is an abundant number, since it is smaller than the sum of its proper divisors (473827616).

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

272258560 is an equidigital number, since it uses as much as digits as its factorization.

272258560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15223 (or 15207 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 37.

The square root of 272258560 is about 16500.2593919005. The cubic root of 272258560 is about 648.1275976948.

The spelling of 272258560 in words is "two hundred seventy-two million, two hundred fifty-eight thousand, five hundred sixty".