272717612618896 has 135 divisors (see below), whose sum is σ = 547950591836193. Its totient is φ = 131489737167360.

The previous prime is 272717612618861. The next prime is 272717612618917. The reversal of 272717612618896 is 698816216717272.

The square root of 272717612618896 is 16514164.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 13 ways, for example, as 193372274858896 + 79345337760000 = 13905836^2 + 8907600^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 213561168210 + ... + 213561169486.

Almost surely, 2^{272717612618896} is an apocalyptic number.

272717612618896 is the 16514164-th square number.

It is an amenable number.

272717612618896 is an abundant number, since it is smaller than the sum of its proper divisors (275232979217297).

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

272717612618896 is an frugal number, since it uses more digits than its factorization.

272717612618896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2790 (or 1393 counting only the distinct ones).

The product of its digits is 341397504, while the sum is 73.

The spelling of 272717612618896 in words is "two hundred seventy-two trillion, seven hundred seventeen billion, six hundred twelve million, six hundred eighteen thousand, eight hundred ninety-six".