272376738816 has 352 divisors, whose sum is σ = 906168711168. Its totient is φ = 70818693120.

The previous prime is 272376738793. The next prime is 272376738833. The reversal of 272376738816 is 618837673272.

272376738816 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a self number, because there is not a number n which added to its sum of digits gives 272376738816.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19841331 + ... + 19855053.

Almost surely, 2^272376738816 is an apocalyptic number.

272376738816 is a gapful number since it is divisible by the number (26) 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 272376738816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (453084355584).

272376738816 is an abundant number, since it is smaller than the sum of its proper divisors (633791972352).

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

272376738816 is a wasteful number, since it uses less digits than its factorization.

272376738816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13837 (or 13819 counting only the distinct ones).

The product of its digits is 28449792, while the sum is 60.

The spelling of 272376738816 in words is "two hundred seventy-two billion, three hundred seventy-six million, seven hundred thirty-eight thousand, eight hundred sixteen".