162075168 has 144 divisors (see below), whose sum is σ = 503586720. Its totient is φ = 51134976.

The previous prime is 162075167. The next prime is 162075191. The reversal of 162075168 is 861570261.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (162075163) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 147196 + ... + 148292.

It is an arithmetic number, because the mean of its divisors is an integer number (3497130).

Almost surely, 2^162075168 is an apocalyptic number.

162075168 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 162075168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251793360).

162075168 is an abundant number, since it is smaller than the sum of its proper divisors (341511552).

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

162075168 is a wasteful number, since it uses less digits than its factorization.

162075168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1141 (or 1121 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 162075168 is about 12730.8745968217. The cubic root of 162075168 is about 545.2204792079.

The spelling of 162075168 in words is "one hundred sixty-two million, seventy-five thousand, one hundred sixty-eight".