272879373312 has 1056 divisors, whose sum is σ = 1022271144960. Its totient is φ = 71269466112.

The previous prime is 272879373293. The next prime is 272879373329. The reversal of 272879373312 is 213373978272.

272879373312 is a `hidden beast` number, since 27 + 287 + 9 + 3 + 7 + 331 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2649314253 + ... + 2649314355.

Almost surely, 2^272879373312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 272879373312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (511135572480).

272879373312 is an abundant number, since it is smaller than the sum of its proper divisors (749391771648).

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

272879373312 is an equidigital number, since it uses as much as digits as its factorization.

272879373312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177 (or 128 counting only the distinct ones).

The product of its digits is 5334336, while the sum is 54.

The spelling of 272879373312 in words is "two hundred seventy-two billion, eight hundred seventy-nine million, three hundred seventy-three thousand, three hundred twelve".