272107827603817 has 8 divisors (see below), whose sum is σ = 278773660980360. Its totient is φ = 265498724724480.

The previous prime is 272107827603793. The next prime is 272107827603883. The reversal of 272107827603817 is 718306728701272.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 239305877721 + 271868521726096 = 489189^2 + 16488436^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-272107827603817 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (272107827603217) 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, 14182614592 + ... + 14182633777.

It is an arithmetic number, because the mean of its divisors is an integer number (34846707622545).

Almost surely, 2^{272107827603817} is an apocalyptic number.

It is an amenable number.

272107827603817 is a deficient number, since it is larger than the sum of its proper divisors (6665833376543).

272107827603817 is a wasteful number, since it uses less digits than its factorization.

272107827603817 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28365248603.

The product of its (nonzero) digits is 22127616, while the sum is 61.

The spelling of 272107827603817 in words is "two hundred seventy-two trillion, one hundred seven billion, eight hundred twenty-seven million, six hundred three thousand, eight hundred seventeen".