167272 has 32 divisors (see below), whose sum is σ = 374400. Its totient is φ = 68544.

The previous prime is 167269. The next prime is 167309. The reversal of 167272 is 272761.

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

167272 is a modest number, since divided by 7272 gives 16 as remainder.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1573 + ... + 1675.

It is an arithmetic number, because the mean of its divisors is an integer number (11700).

2¹⁶⁷²⁷² is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 167272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187200).

167272 is an abundant number, since it is smaller than the sum of its proper divisors (207128).

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

167272 is a wasteful number, since it uses less digits than its factorization.

167272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145 (or 141 counting only the distinct ones).

The product of its digits is 1176, while the sum is 25.

The square root of 167272 is about 408.9889974070. The cubic root of 167272 is about 55.0986658702.

The spelling of 167272 in words is "one hundred sixty-seven thousand, two hundred seventy-two".