272947733136 has 405 divisors, whose sum is σ = 883155263601. Its totient is φ = 78642450432.

The previous prime is 272947733129. The next prime is 272947733167. The reversal of 272947733136 is 631337749272.

The square root of 272947733136 is 522444.

It is a perfect power (a square), and thus also a powerful number.

272947733136 is a `hidden beast` number, since 2 + 7 + 2 + 9 + 477 + 33 + 136 = 666.

272947733136 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 13 ways, for example, as 15143763600 + 257803969536 = 123060^2 + 507744^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 1385521390 + ... + 1385521586.

Almost surely, 2^272947733136 is an apocalyptic number.

272947733136 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

272947733136 is the 522444-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 272947733136

272947733136 is an abundant number, since it is smaller than the sum of its proper divisors (610207530465).

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

272947733136 is a wasteful number, since it uses less digits than its factorization.

272947733136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 468 (or 232 counting only the distinct ones).

The product of its digits is 8001504, while the sum is 54.

The spelling of 272947733136 in words is "two hundred seventy-two billion, nine hundred forty-seven million, seven hundred thirty-three thousand, one hundred thirty-six".