112972005 has 48 divisors (see below), whose sum is σ = 209139840. Its totient is φ = 56246400.

The previous prime is 112972003. The next prime is 112972049. The reversal of 112972005 is 500279211.

It is not a de Polignac number, because 112972005 - 2¹ = 112972003 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 112972005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112972001) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 59775 + ... + 61635.

It is an arithmetic number, because the mean of its divisors is an integer number (4357080).

Almost surely, 2^112972005 is an apocalyptic number.

112972005 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

112972005 is a deficient number, since it is larger than the sum of its proper divisors (96167835).

112972005 is a wasteful number, since it uses less digits than its factorization.

112972005 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1962 (or 1959 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 27.

The square root of 112972005 is about 10628.8289571335. The cubic root of 112972005 is about 483.4188848430.

The spelling of 112972005 in words is "one hundred twelve million, nine hundred seventy-two thousand, five".