272917879093728 has 384 divisors, whose sum is σ = 876281542617600. Its totient is φ = 81949761331200.

The previous prime is 272917879093703. The next prime is 272917879093729. The reversal of 272917879093728 is 827390978719272.

272917879093728 is a `hidden beast` number, since 2 + 7 + 2 + 9 + 178 + 79 + 0 + 9 + 372 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (272917879093729) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4541712963 + ... + 4541773053.

It is an arithmetic number, because the mean of its divisors is an integer number (2281983183900).

Almost surely, 2^{272917879093728} 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 272917879093728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (438140771308800).

272917879093728 is an abundant number, since it is smaller than the sum of its proper divisors (603363663523872).

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

272917879093728 is a wasteful number, since it uses less digits than its factorization.

272917879093728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64463 (or 64449 counting only the distinct ones).

The product of its (nonzero) digits is 2688505344, while the sum is 81.

The spelling of 272917879093728 in words is "two hundred seventy-two trillion, nine hundred seventeen billion, eight hundred seventy-nine million, ninety-three thousand, seven hundred twenty-eight".