111729492 has 144 divisors (see below), whose sum is σ = 346574592. Its totient is φ = 29652480.

The previous prime is 111729439. The next prime is 111729509. The reversal of 111729492 is 294927111.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 214192 + ... + 214712.

It is an arithmetic number, because the mean of its divisors is an integer number (2406768).

Almost surely, 2^111729492 is an apocalyptic number.

111729492 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 111729492, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173287296).

111729492 is an abundant number, since it is smaller than the sum of its proper divisors (234845100).

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

111729492 is a wasteful number, since it uses less digits than its factorization.

111729492 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 598 (or 593 counting only the distinct ones).

The product of its digits is 9072, while the sum is 36.

The square root of 111729492 is about 10570.2172163111. The cubic root of 111729492 is about 481.6400669104.

The spelling of 111729492 in words is "one hundred eleven million, seven hundred twenty-nine thousand, four hundred ninety-two".