272804223679104 has 192 divisors, whose sum is σ = 784882034697600. Its totient is φ = 83916571115520.

The previous prime is 272804223679069. The next prime is 272804223679171. The reversal of 272804223679104 is 401976322408272.

It is a tau number, because it is divible by the number of its divisors (192).

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 23 ways as a sum of consecutive naturals, for example, 235058512 + ... + 236216240.

It is an arithmetic number, because the mean of its divisors is an integer number (4087927264050).

Almost surely, 2^{272804223679104} is an apocalyptic number.

272804223679104 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 272804223679104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (392441017348800).

272804223679104 is an abundant number, since it is smaller than the sum of its proper divisors (512077811018496).

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

272804223679104 is a wasteful number, since it uses less digits than its factorization.

272804223679104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1161403 (or 1161378 counting only the distinct ones).

The product of its (nonzero) digits is 16257024, while the sum is 57.

The spelling of 272804223679104 in words is "two hundred seventy-two trillion, eight hundred four billion, two hundred twenty-three million, six hundred seventy-nine thousand, one hundred four".