7172728104591 has 48 divisors (see below), whose sum is σ = 12537567941184. Its totient is φ = 3857490127872.

The previous prime is 7172728104587. The next prime is 7172728104623. The reversal of 7172728104591 is 1954018272717.

7172728104591 is a `hidden beast` number, since 7 + 1 + 7 + 27 + 28 + 1 + 0 + 4 + 591 = 666.

It is not a de Polignac number, because 7172728104591 - 2² = 7172728104587 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7172728104541) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 48203181 + ... + 48351753.

It is an arithmetic number, because the mean of its divisors is an integer number (261199332108).

Almost surely, 2^{7172728104591} is an apocalyptic number.

7172728104591 is a deficient number, since it is larger than the sum of its proper divisors (5364839836593).

7172728104591 is a wasteful number, since it uses less digits than its factorization.

7172728104591 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193680 (or 193677 counting only the distinct ones).

The product of its (nonzero) digits is 1975680, while the sum is 54.

The spelling of 7172728104591 in words is "seven trillion, one hundred seventy-two billion, seven hundred twenty-eight million, one hundred four thousand, five hundred ninety-one".