272629615105 has 16 divisors (see below), whose sum is σ = 328890588624. Its totient is φ = 216948879360.

The previous prime is 272629615081. The next prime is 272629615127. The reversal of 272629615105 is 501516926272.

It can be written as a sum of positive squares in 8 ways, for example, as 1731225664 + 270898389441 = 41608^2 + 520479^2 .

It is not a de Polignac number, because 272629615105 - 2¹⁹ = 272629090817 is a prime.

It is a super-2 number, since 2×272629615105² (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1044145 + ... + 1278865.

It is an arithmetic number, because the mean of its divisors is an integer number (20555661789).

Almost surely, 2^272629615105 is an apocalyptic number.

It is an amenable number.

272629615105 is a deficient number, since it is larger than the sum of its proper divisors (56260973519).

272629615105 is a wasteful number, since it uses less digits than its factorization.

272629615105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235956.

The product of its (nonzero) digits is 453600, while the sum is 46.

The spelling of 272629615105 in words is "two hundred seventy-two billion, six hundred twenty-nine million, six hundred fifteen thousand, one hundred five".