72177231889 has 16 divisors (see below), whose sum is σ = 84729977728. Its totient is φ = 60185400192.

The previous prime is 72177231881. The next prime is 72177231899. The reversal of 72177231889 is 98813277127.

It is a cyclic number.

It is not a de Polignac number, because 72177231889 - 2³ = 72177231881 is a prime.

It is a super-4 number, since 4×72177231889⁴ (a number of 45 digits) contains 4444 as substring. Note that it is a super-d number also for d = 3.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (72177231881) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2264149 + ... + 2295805.

It is an arithmetic number, because the mean of its divisors is an integer number (5295623608).

Almost surely, 2^72177231889 is an apocalyptic number.

It is an amenable number.

72177231889 is a deficient number, since it is larger than the sum of its proper divisors (12552745839).

72177231889 is a wasteful number, since it uses less digits than its factorization.

72177231889 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40504.

The product of its digits is 2370816, while the sum is 55.

The spelling of 72177231889 in words is "seventy-two billion, one hundred seventy-seven million, two hundred thirty-one thousand, eight hundred eighty-nine".