111729920 has 72 divisors (see below), whose sum is σ = 274284360. Its totient is φ = 43581440.

The previous prime is 111729911. The next prime is 111729923. The reversal of 111729920 is 29927111.

It can be written as a sum of positive squares in 4 ways, for example, as 891136 + 110838784 = 944^2 + 10528^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111729923) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 51416 + ... + 53544.

It is an arithmetic number, because the mean of its divisors is an integer number (3809505).

Almost surely, 2^111729920 is an apocalyptic number.

111729920 is a gapful number since it is divisible by the number (10) 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 111729920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137142180).

111729920 is an abundant number, since it is smaller than the sum of its proper divisors (162554440).

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

111729920 is an equidigital number, since it uses as much as digits as its factorization.

111729920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2191 (or 2177 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 32.

The square root of 111729920 is about 10570.2374618549. The cubic root of 111729920 is about 481.6406819127.

The spelling of 111729920 in words is "one hundred eleven million, seven hundred twenty-nine thousand, nine hundred twenty".