72161010111720 has 128 divisors (see below), whose sum is σ = 216822997238400. Its totient is φ = 19212721618944.

The previous prime is 72161010111583. The next prime is 72161010111721. The reversal of 72161010111720 is 2711101016127.

It is a super-2 number, since 2×72161010111720² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (72161010111721) 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 31 ways as a sum of consecutive naturals, for example, 1188999136 + ... + 1189059824.

It is an arithmetic number, because the mean of its divisors is an integer number (1693929665925).

Almost surely, 2^{72161010111720} is an apocalyptic number.

It is an amenable number.

72161010111720 is an abundant number, since it is smaller than the sum of its proper divisors (144661987126680).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

72161010111720 is a wasteful number, since it uses less digits than its factorization.

72161010111720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76099 (or 76095 counting only the distinct ones).

The product of its (nonzero) digits is 1176, while the sum is 30.

Adding to 72161010111720 its reverse (2711101016127), we get a palindrome (74872111127847).

The spelling of 72161010111720 in words is "seventy-two trillion, one hundred sixty-one billion, ten million, one hundred eleven thousand, seven hundred twenty".