272892585298272 has 48 divisors (see below), whose sum is σ = 733814817794352. Its totient is φ = 88745556193280.

The previous prime is 272892585298169. The next prime is 272892585298349.

272892585298272 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×272892585298272² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 34666228953 + ... + 34666236824.

It is an arithmetic number, because the mean of its divisors is an integer number (15287808704049).

Almost surely, 2^{272892585298272} is an apocalyptic number.

It is an amenable number.

272892585298272 is an abundant number, since it is smaller than the sum of its proper divisors (460922232496080).

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

272892585298272 is a wasteful number, since it uses less digits than its factorization.

272892585298272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69332465831 (or 69332465823 counting only the distinct ones).

The product of its digits is 3251404800, while the sum is 78.

The spelling of 272892585298272 in words is "two hundred seventy-two trillion, eight hundred ninety-two billion, five hundred eighty-five million, two hundred ninety-eight thousand, two hundred seventy-two".