112725117 has 36 divisors (see below), whose sum is σ = 172426644. Its totient is φ = 70936320.

The previous prime is 112725101. The next prime is 112725121. The reversal of 112725117 is 711527211.

It can be written as a sum of positive squares in 6 ways, for example, as 5788836 + 106936281 = 2406^2 + 10341^2 .

It is not a de Polignac number, because 112725117 - 2⁴ = 112725101 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112725127) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 401017 + ... + 401297.

It is an arithmetic number, because the mean of its divisors is an integer number (4789629).

Almost surely, 2^112725117 is an apocalyptic number.

It is an amenable number.

112725117 is a deficient number, since it is larger than the sum of its proper divisors (59701527).

112725117 is a wasteful number, since it uses less digits than its factorization.

112725117 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 398 (or 366 counting only the distinct ones).

The product of its digits is 980, while the sum is 27.

The square root of 112725117 is about 10617.2085314361. The cubic root of 112725117 is about 483.0664749112.

It can be divided in two parts, 1127 and 25117, that added together give a square (26244 = 162²).

The spelling of 112725117 in words is "one hundred twelve million, seven hundred twenty-five thousand, one hundred seventeen".