115072167 has 32 divisors (see below), whose sum is σ = 187633152. Its totient is φ = 61231104.

The previous prime is 115072159. The next prime is 115072207. The reversal of 115072167 is 761270511.

It is not a de Polignac number, because 115072167 - 2³ = 115072159 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (115072127) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 32968 + ... + 36290.

It is an arithmetic number, because the mean of its divisors is an integer number (5863536).

Almost surely, 2^115072167 is an apocalyptic number.

115072167 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

115072167 is a deficient number, since it is larger than the sum of its proper divisors (72560985).

115072167 is a wasteful number, since it uses less digits than its factorization.

115072167 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3447.

The product of its (nonzero) digits is 2940, while the sum is 30.

The square root of 115072167 is about 10727.1695707675. The cubic root of 115072167 is about 486.3961147629.

The spelling of 115072167 in words is "one hundred fifteen million, seventy-two thousand, one hundred sixty-seven".