72017553271057 has 6 divisors (see below), whose sum is σ = 72589085733138. Its totient is φ = 71450485906464.

The previous prime is 72017553271007. The next prime is 72017553271067. The reversal of 72017553271057 is 75017235571027.

It can be written as a sum of positive squares in only one way, i.e., 47621026838401 + 24396526432656 = 6900799^2 + 4939284^2 .

It is not a de Polignac number, because 72017553271057 - 2¹¹ = 72017553269009 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 72017553270995 and 72017553271013.

It is not an unprimeable number, because it can be changed into a prime (72017553271007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2232532488 + ... + 2232564745.

It is an arithmetic number, because the mean of its divisors is an integer number (12098180955523).

Almost surely, 2^{72017553271057} is an apocalyptic number.

It is an amenable number.

72017553271057 is a deficient number, since it is larger than the sum of its proper divisors (571532462081).

72017553271057 is an equidigital number, since it uses as much as digits as its factorization.

72017553271057 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4465097487 (or 4465097360 counting only the distinct ones).

The product of its (nonzero) digits is 3601500, while the sum is 52.

The spelling of 72017553271057 in words is "seventy-two trillion, seventeen billion, five hundred fifty-three million, two hundred seventy-one thousand, fifty-seven".