172668160 has 108 divisors (see below), whose sum is σ = 481294548. Its totient is φ = 59179008.

The previous prime is 172668151. The next prime is 172668169. The reversal of 172668160 is 61866271.

It is an interprime number because it is at equal distance from previous prime (172668151) and next prime (172668169).

It can be written as a sum of positive squares in 2 ways, for example, as 118026496 + 54641664 = 10864^2 + 7392^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (172668169) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 61344 + ... + 64096.

It is an arithmetic number, because the mean of its divisors is an integer number (4456431).

Almost surely, 2^172668160 is an apocalyptic number.

172668160 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 172668160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240647274).

172668160 is an abundant number, since it is smaller than the sum of its proper divisors (308626388).

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

172668160 is an equidigital number, since it uses as much as digits as its factorization.

172668160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2788 (or 2767 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 37.

The square root of 172668160 is about 13140.3257189462. The cubic root of 172668160 is about 556.8489695778.

The spelling of 172668160 in words is "one hundred seventy-two million, six hundred sixty-eight thousand, one hundred sixty".