167772160 has 52 divisors (see below), whose sum is σ = 402653178. Its totient is φ = 67108864.

The previous prime is 167772107. The next prime is 167772161. The reversal of 167772160 is 61277761.

It can be written as a sum of positive squares in only one way, i.e., 150994944 + 16777216 = 12288^2 + 4096^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=5, B=32.

It is a nialpdrome in base 4 and base 16.

It is a zygodrome in base 4.

It is not an unprimeable number, because it can be changed into a prime (167772161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (2) of ones.

In principle, a polygon with 167772160 sides can be constructed with ruler and compass.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 33554430 + ... + 33554434.

Almost surely, 2^167772160 is an apocalyptic number.

167772160 is a gapful number since it is divisible by the number (10) 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 167772160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201326589).

167772160 is an abundant number, since it is smaller than the sum of its proper divisors (234881018).

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

167772160 is an frugal number, since it uses more digits than its factorization.

167772160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55 (or 7 counting only the distinct ones).

The product of its (nonzero) digits is 24696, while the sum is 37.

The square root of 167772160 is about 12952.6892960497. The cubic root of 167772160 is about 551.5352806482.

It can be divided in two parts, 1677 and 72160, that added together give a palindrome (73837).

The spelling of 167772160 in words is "one hundred sixty-seven million, seven hundred seventy-two thousand, one hundred sixty".