111516672 has 88 divisors (see below), whose sum is σ = 307082752. Its totient is φ = 35942400.

The previous prime is 111516661. The next prime is 111516677. The reversal of 111516672 is 276615111.

It is a super-3 number, since 3×111516672³ (a number of 25 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111516677) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 94647 + ... + 95817.

Almost surely, 2^111516672 is an apocalyptic number.

111516672 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 111516672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153541376).

111516672 is an abundant number, since it is smaller than the sum of its proper divisors (195566080).

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

111516672 is a wasteful number, since it uses less digits than its factorization.

111516672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1225 (or 1207 counting only the distinct ones).

The product of its digits is 2520, while the sum is 30.

The square root of 111516672 is about 10560.1454535437. The cubic root of 111516672 is about 481.3340665644.

The spelling of 111516672 in words is "one hundred eleven million, five hundred sixteen thousand, six hundred seventy-two".