272083080024001 has 8 divisors (see below), whose sum is σ = 274912841634984. Its totient is φ = 269253824156160.

The previous prime is 272083080023981. The next prime is 272083080024113. The reversal of 272083080024001 is 100420080380272.

It can be written as a sum of positive squares in 4 ways, for example, as 52754088766401 + 219328991257600 = 7263201^2 + 14809760^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 272083080024001 - 2⁵ = 272083080023969 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (272083080024601) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 125354170 + ... + 127506211.

It is an arithmetic number, because the mean of its divisors is an integer number (34364105204373).

Almost surely, 2^{272083080024001} is an apocalyptic number.

It is an amenable number.

272083080024001 is a deficient number, since it is larger than the sum of its proper divisors (2829761610983).

272083080024001 is a wasteful number, since it uses less digits than its factorization.

272083080024001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 252871571.

The product of its (nonzero) digits is 43008, while the sum is 37.

The spelling of 272083080024001 in words is "two hundred seventy-two trillion, eighty-three billion, eighty million, twenty-four thousand, one".