272742723767712 has 192 divisors, whose sum is σ = 791667927880704. Its totient is φ = 81527315159040.

The previous prime is 272742723767653. The next prime is 272742723767737. The reversal of 272742723767712 is 217767327247272.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (66).

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 31 ways as a sum of consecutive naturals, for example, 54303468 + ... + 59113044.

It is an arithmetic number, because the mean of its divisors is an integer number (4123270457712).

Almost surely, 2^{272742723767712} is an apocalyptic number.

272742723767712 is a gapful number since it is divisible by the number (22) 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 272742723767712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (395833963940352).

272742723767712 is an abundant number, since it is smaller than the sum of its proper divisors (518925204112992).

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

272742723767712 is a wasteful number, since it uses less digits than its factorization.

272742723767712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4810331 (or 4810323 counting only the distinct ones).

The product of its digits is 271063296, while the sum is 66.

The spelling of 272742723767712 in words is "two hundred seventy-two trillion, seven hundred forty-two billion, seven hundred twenty-three million, seven hundred sixty-seven thousand, seven hundred twelve".