167272107 has 24 divisors (see below), whose sum is σ = 233572416. Its totient is φ = 106422288.

The previous prime is 167272051. The next prime is 167272117. The reversal of 167272107 is 701272761.

It is a happy number.

It is not a de Polignac number, because 167272107 - 2²⁷ = 33054379 is a prime.

It is an alternating number because its digits alternate between odd and even.

It is not an unprimeable number, because it can be changed into a prime (167272117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 284668 + ... + 285254.

It is an arithmetic number, because the mean of its divisors is an integer number (9732184).

Almost surely, 2^167272107 is an apocalyptic number.

167272107 is a deficient number, since it is larger than the sum of its proper divisors (66300309).

167272107 is an equidigital number, since it uses as much as digits as its factorization.

167272107 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 727 (or 680 counting only the distinct ones).

The product of its (nonzero) digits is 8232, while the sum is 33.

The square root of 167272107 is about 12933.3718341351. The cubic root of 167272107 is about 550.9867761864.

The spelling of 167272107 in words is "one hundred sixty-seven million, two hundred seventy-two thousand, one hundred seven".