111720972 has 48 divisors (see below), whose sum is σ = 286473600. Its totient is φ = 33605760.

The previous prime is 111720971. The next prime is 111720977. The reversal of 111720972 is 279027111.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (111720971) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15304 + ... + 21392.

It is an arithmetic number, because the mean of its divisors is an integer number (5968200).

Almost surely, 2^111720972 is an apocalyptic number.

111720972 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 111720972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143236800).

111720972 is an abundant number, since it is smaller than the sum of its proper divisors (174752628).

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

111720972 is a wasteful number, since it uses less digits than its factorization.

111720972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6246 (or 6244 counting only the distinct ones).

The product of its (nonzero) digits is 1764, while the sum is 30.

The square root of 111720972 is about 10569.8141894737. The cubic root of 111720972 is about 481.6278240143.

The spelling of 111720972 in words is "one hundred eleven million, seven hundred twenty thousand, nine hundred seventy-two".