272875640625 has 189 divisors, whose sum is σ = 576018818271. Its totient is φ = 124116300000.

The previous prime is 272875640603. The next prime is 272875640657. The reversal of 272875640625 is 526046578272.

The square root of 272875640625 is 522375.

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

272875640625 is a `hidden beast` number, since 2 + 7 + 2 + 8 + 7 + 5 + 6 + 4 + 0 + 625 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 239065257249 + 33810383376 = 488943^2 + 183876^2 .

It is not a de Polignac number, because 272875640625 - 2¹⁵ = 272875607857 is a prime.

It is a super-2 number, since 2×272875640625² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 188 ways as a sum of consecutive naturals, for example, 1371234276 + ... + 1371234474.

Almost surely, 2^272875640625 is an apocalyptic number.

272875640625 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

272875640625 is the 522375-th square number.

272875640625 is the 261188-th centered octagonal number.

It is an amenable number.

272875640625 is an abundant number, since it is smaller than the sum of its proper divisors (303143177646).

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

272875640625 is an frugal number, since it uses more digits than its factorization.

272875640625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 448 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 11289600, while the sum is 54.

The spelling of 272875640625 in words is "two hundred seventy-two billion, eight hundred seventy-five million, six hundred forty thousand, six hundred twenty-five".