272584233216 has 243 divisors, whose sum is σ = 802224975279. Its totient is φ = 89015279616.

The previous prime is 272584233179. The next prime is 272584233241. The reversal of 272584233216 is 612332485272.

The square root of 272584233216 is 522096.

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

272584233216 is a `hidden beast` number, since 2 + 7 + 2 + 5 + 8 + 423 + 3 + 216 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 35313926400 + 237270306816 = 187920^2 + 487104^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1829424310 + ... + 1829424458.

Almost surely, 2^272584233216 is an apocalyptic number.

272584233216 is the 522096-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 272584233216

272584233216 is an abundant number, since it is smaller than the sum of its proper divisors (529640742063).

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

272584233216 is an frugal number, since it uses more digits than its factorization.

272584233216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 466 (or 227 counting only the distinct ones).

The product of its digits is 967680, while the sum is 45.

The spelling of 272584233216 in words is "two hundred seventy-two billion, five hundred eighty-four million, two hundred thirty-three thousand, two hundred sixteen".