167972 has 18 divisors (see below), whose sum is σ = 342342. Its totient is φ = 71904.

The previous prime is 167971. The next prime is 167987. The reversal of 167972 is 279761.

It can be written as a sum of positive squares in only one way, i.e., 164836 + 3136 = 406^2 + 56^2 .

It is not an unprimeable number, because it can be changed into a prime (167971) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 233 + ... + 624.

It is an arithmetic number, because the mean of its divisors is an integer number (19019).

2¹⁶⁷⁹⁷² is an apocalyptic number.

It is an amenable number.

167972 is an abundant number, since it is smaller than the sum of its proper divisors (174370).

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

167972 is a wasteful number, since it uses less digits than its factorization.

167972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 875 (or 866 counting only the distinct ones).

The product of its digits is 5292, while the sum is 32.

The square root of 167972 is about 409.8438727125. The cubic root of 167972 is about 55.1754178860.

The spelling of 167972 in words is "one hundred sixty-seven thousand, nine hundred seventy-two".