272215738368 has 756 divisors, whose sum is σ = 965128776885. Its totient is φ = 76500910080.

The previous prime is 272215738349. The next prime is 272215738409. The reversal of 272215738368 is 863837512272.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

272215738368 is a `hidden beast` number, since 2 + 7 + 2 + 2 + 1 + 573 + 8 + 3 + 68 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 184391230464 + 87824507904 = 429408^2 + 296352^2 .

It is a tau number, because it is divible by the number of its divisors (756).

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=368928.

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

It is an unprimeable number.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 4462553058 + ... + 4462553118.

Almost surely, 2^272215738368 is an apocalyptic number.

272215738368 is a gapful number since it is divisible by the number (28) 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 272215738368

272215738368 is an abundant number, since it is smaller than the sum of its proper divisors (692913038517).

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

272215738368 is an frugal number, since it uses more digits than its factorization.

272215738368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176 (or 73 counting only the distinct ones).

The product of its digits is 6773760, while the sum is 54.

The spelling of 272215738368 in words is "two hundred seventy-two billion, two hundred fifteen million, seven hundred thirty-eight thousand, three hundred sixty-eight".