167472 has 30 divisors (see below), whose sum is σ = 469092. Its totient is φ = 55776.

The previous prime is 167471. The next prime is 167483. The reversal of 167472 is 274761.

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 (167471) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 438 + ... + 725.

2¹⁶⁷⁴⁷² is an apocalyptic number.

167472 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

167472 is an abundant number, since it is smaller than the sum of its proper divisors (301620).

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

167472 is a wasteful number, since it uses less digits than its factorization.

167472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1177 (or 1168 counting only the distinct ones).

The product of its digits is 2352, while the sum is 27.

The square root of 167472 is about 409.2334297195. The cubic root of 167472 is about 55.1206168326.

The spelling of 167472 in words is "one hundred sixty-seven thousand, four hundred seventy-two".