167672 has 8 divisors (see below), whose sum is σ = 314400. Its totient is φ = 83832.

The previous prime is 167663. The next prime is 167677. The reversal of 167672 is 276761.

It is a tau number, because it is divible by the number of its divisors (8).

It is a super-2 number, since 2×167672² = 56227799168, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (167677) by changing a digit.

167672 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 as a sum of consecutive naturals, namely, 10472 + ... + 10487.

It is an arithmetic number, because the mean of its divisors is an integer number (39300).

2¹⁶⁷⁶⁷² is an apocalyptic number.

It is an amenable number.

167672 is a deficient number, since it is larger than the sum of its proper divisors (146728).

167672 is a wasteful number, since it uses less digits than its factorization.

167672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20965 (or 20961 counting only the distinct ones).

The product of its digits is 3528, while the sum is 29.

The square root of 167672 is about 409.4777161214. The cubic root of 167672 is about 55.1425503256.

The spelling of 167672 in words is "one hundred sixty-seven thousand, six hundred seventy-two".