172314144 has 72 divisors (see below), whose sum is σ = 502004412. Its totient is φ = 56033280.

The previous prime is 172314133. The next prime is 172314157. The reversal of 172314144 is 441413271.

172314144 is a `hidden beast` number, since 17 + 231 + 414 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 128595600 + 43718544 = 11340^2 + 6612^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4512 + ... + 19104.

Almost surely, 2^172314144 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 172314144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251002206).

172314144 is an abundant number, since it is smaller than the sum of its proper divisors (329690268).

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

172314144 is a wasteful number, since it uses less digits than its factorization.

172314144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14650 (or 14639 counting only the distinct ones).

The product of its digits is 2688, while the sum is 27.

The square root of 172314144 is about 13126.8482127280. The cubic root of 172314144 is about 556.4681459912.

The spelling of 172314144 in words is "one hundred seventy-two million, three hundred fourteen thousand, one hundred forty-four".