272968247673 has 16 divisors (see below), whose sum is σ = 441160804800. Its totient is φ = 165435301440.

The previous prime is 272968247653. The next prime is 272968247693. The reversal of 272968247673 is 376742869272.

272968247673 is a `hidden beast` number, since 2 + 7 + 2 + 96 + 8 + 2 + 476 + 73 = 666.

It is an interprime number because it is at equal distance from previous prime (272968247653) and next prime (272968247693).

It is not a de Polignac number, because 272968247673 - 2²⁴ = 272951470457 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 272968247673.

It is not an unprimeable number, because it can be changed into a prime (272968247603) by changing a digit.

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, 459542208 + ... + 459542801.

It is an arithmetic number, because the mean of its divisors is an integer number (27572550300).

Almost surely, 2^272968247673 is an apocalyptic number.

It is an amenable number.

272968247673 is a deficient number, since it is larger than the sum of its proper divisors (168192557127).

272968247673 is a wasteful number, since it uses less digits than its factorization.

272968247673 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 919085029 (or 919085023 counting only the distinct ones).

The product of its digits is 85349376, while the sum is 63.

The spelling of 272968247673 in words is "two hundred seventy-two billion, nine hundred sixty-eight million, two hundred forty-seven thousand, six hundred seventy-three".