112006272 has 64 divisors (see below), whose sum is σ = 340027200. Its totient is φ = 32001024.

The previous prime is 112006267. The next prime is 112006283. The reversal of 112006272 is 272600211.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (21).

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, 18147 + ... + 23522.

It is an arithmetic number, because the mean of its divisors is an integer number (5312925).

Almost surely, 2^112006272 is an apocalyptic number.

112006272 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

112006272 is an abundant number, since it is smaller than the sum of its proper divisors (228020928).

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

112006272 is an equidigital number, since it uses as much as digits as its factorization.

112006272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41693 (or 41681 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 21.

The square root of 112006272 is about 10583.3015642568. The cubic root of 112006272 is about 482.0374505315.

Adding to 112006272 its reverse (272600211), we get a palindrome (384606483).

The spelling of 112006272 in words is "one hundred twelve million, six thousand, two hundred seventy-two".