72111116 has 48 divisors (see below), whose sum is σ = 158118912. Its totient is φ = 27955200.

The previous prime is 72111103. The next prime is 72111163. The reversal of 72111116 is 61111127.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 78701 + ... + 79611.

It is an arithmetic number, because the mean of its divisors is an integer number (3294144).

Almost surely, 2^72111116 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72111116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79059456).

72111116 is an abundant number, since it is smaller than the sum of its proper divisors (86007796).

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

72111116 is a wasteful number, since it uses less digits than its factorization.

72111116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1190 (or 1188 counting only the distinct ones).

The product of its digits is 84, while the sum is 20.

The square root of 72111116 is about 8491.8264230965. The cubic root of 72111116 is about 416.2306644218.

It can be divided in two parts, 721111 and 16, that added together give a palindrome (721127).

The spelling of 72111116 in words is "seventy-two million, one hundred eleven thousand, one hundred sixteen".