167172 has 12 divisors (see below), whose sum is σ = 390096. Its totient is φ = 55720.

The previous prime is 167159. The next prime is 167173. The reversal of 167172 is 271761.

It is a tau number, because it is divible by the number of its divisors (12).

It is a Smith number, since the sum of its digits (24) coincides with the sum of the digits of its prime factors.

It is an Ulam number.

It is a plaindrome in base 14.

It is a zygodrome in base 14.

It is not an unprimeable number, because it can be changed into a prime (167173) by changing a digit.

167172 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 6954 + ... + 6977.

It is an arithmetic number, because the mean of its divisors is an integer number (32508).

2¹⁶⁷¹⁷² is an apocalyptic number.

167172 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

167172 is an abundant number, since it is smaller than the sum of its proper divisors (222924).

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

167172 is a wasteful number, since it uses less digits than its factorization.

167172 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13938 (or 13936 counting only the distinct ones).

The product of its digits is 588, while the sum is 24.

The square root of 167172 is about 408.8667264525. The cubic root of 167172 is about 55.0876838271.

The spelling of 167172 in words is "one hundred sixty-seven thousand, one hundred seventy-two".