272023790481 has 81 divisors (see below), whose sum is σ = 419945967259. Its totient is φ = 176195147616.

The previous prime is 272023790471. The next prime is 272023790513. The reversal of 272023790481 is 184097320272.

The square root of 272023790481 is 521559.

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

272023790481 is a `hidden beast` number, since 272 + 0 + 2 + 379 + 0 + 4 + 8 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 159788070225 + 112235720256 = 399735^2 + 335016^2 .

It is a tau number, because it is divible by the number of its divisors (81).

It is not a de Polignac number, because 272023790481 - 2⁵ = 272023790449 is a prime.

It is a super-3 number, since 3×272023790481³ (a number of 35 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (272023790431) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 1985575045 + ... + 1985575181.

Almost surely, 2^272023790481 is an apocalyptic number.

272023790481 is the 521559-th square number.

272023790481 is the 260780-th centered octagonal number.

It is an amenable number.

272023790481 is a deficient number, since it is larger than the sum of its proper divisors (147922176778).

272023790481 is an frugal number, since it uses more digits than its factorization.

272023790481 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 392 (or 187 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The spelling of 272023790481 in words is "two hundred seventy-two billion, twenty-three million, seven hundred ninety thousand, four hundred eighty-one".