167072 has 24 divisors (see below), whose sum is σ = 344736. Its totient is φ = 79552.

The previous prime is 167071. The next prime is 167077. The reversal of 167072 is 270761.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (23).

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 (167071) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 623 + ... + 849.

It is an arithmetic number, because the mean of its divisors is an integer number (14364).

2¹⁶⁷⁰⁷² 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 167072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172368).

167072 is an abundant number, since it is smaller than the sum of its proper divisors (177664).

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

167072 is a wasteful number, since it uses less digits than its factorization.

167072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 260 (or 252 counting only the distinct ones).

The product of its (nonzero) digits is 588, while the sum is 23.

The square root of 167072 is about 408.7444189221. The cubic root of 167072 is about 55.0766974036.

The spelling of 167072 in words is "one hundred sixty-seven thousand, seventy-two".