112005072 has 40 divisors (see below), whose sum is σ = 321497280. Its totient is φ = 37334880.

The previous prime is 112005043. The next prime is 112005083. The reversal of 112005072 is 270500211.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 129204 + ... + 130067.

It is an arithmetic number, because the mean of its divisors is an integer number (8037432).

Almost surely, 2^112005072 is an apocalyptic number.

112005072 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

112005072 is an abundant number, since it is smaller than the sum of its proper divisors (209492208).

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

112005072 is a wasteful number, since it uses less digits than its factorization.

112005072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 259288 (or 259276 counting only the distinct ones).

The product of its (nonzero) digits is 140, while the sum is 18.

The square root of 112005072 is about 10583.2448710214. The cubic root of 112005072 is about 482.0357290595.

Adding to 112005072 its reverse (270500211), we get a palindrome (382505283).

The spelling of 112005072 in words is "one hundred twelve million, five thousand, seventy-two".