72172712371103 has 16 divisors (see below), whose sum is σ = 73951068576000. Its totient is φ = 70398907729920.

The previous prime is 72172712371073. The next prime is 72172712371121. The reversal of 72172712371103 is 30117321727127.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 72172712371103 - 2⁴⁰ = 71073200743327 is a prime.

It is a super-2 number, since 2×72172712371103² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72172712371183) 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 15 ways as a sum of consecutive naturals, for example, 796571798 + ... + 796662396.

It is an arithmetic number, because the mean of its divisors is an integer number (4621941786000).

Almost surely, 2^{72172712371103} is an apocalyptic number.

72172712371103 is a deficient number, since it is larger than the sum of its proper divisors (1778356204897).

72172712371103 is a wasteful number, since it uses less digits than its factorization.

72172712371103 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115502.

The product of its (nonzero) digits is 172872, while the sum is 44.

The spelling of 72172712371103 in words is "seventy-two trillion, one hundred seventy-two billion, seven hundred twelve million, three hundred seventy-one thousand, one hundred three".