272107216008 has 192 divisors, whose sum is σ = 799808256000. Its totient is φ = 83256477696.

The previous prime is 272107215967. The next prime is 272107216027. The reversal of 272107216008 is 800612701272.

272107216008 is a `hidden beast` number, since 2 + 7 + 21 + 0 + 7 + 21 + 600 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9156598 + ... + 9186266.

It is an arithmetic number, because the mean of its divisors is an integer number (4165668000).

Almost surely, 2^272107216008 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 272107216008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (399904128000).

272107216008 is an abundant number, since it is smaller than the sum of its proper divisors (527701039992).

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

272107216008 is a wasteful number, since it uses less digits than its factorization.

272107216008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29884 (or 29877 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 36.

The spelling of 272107216008 in words is "two hundred seventy-two billion, one hundred seven million, two hundred sixteen thousand, eight".