72271813041 has 6 divisors (see below), whose sum is σ = 104392618850. Its totient is φ = 48181208688.

The previous prime is 72271813013. The next prime is 72271813063. The reversal of 72271813041 is 14031817227.

72271813041 is a `hidden beast` number, since 7 + 2 + 271 + 81 + 304 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 52660611441 + 19611201600 = 229479^2 + 140040^2 .

It is not a de Polignac number, because 72271813041 - 2¹⁹ = 72271288753 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 72271812987 and 72271813005.

It is not an unprimeable number, because it can be changed into a prime (72271811041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4015100716 + ... + 4015100733.

Almost surely, 2^72271813041 is an apocalyptic number.

It is an amenable number.

72271813041 is a deficient number, since it is larger than the sum of its proper divisors (32120805809).

72271813041 is a wasteful number, since it uses less digits than its factorization.

72271813041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8030201455 (or 8030201452 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 36.

The spelling of 72271813041 in words is "seventy-two billion, two hundred seventy-one million, eight hundred thirteen thousand, forty-one".