172171120 has 80 divisors (see below), whose sum is σ = 441409248. Its totient is φ = 61931520.

The previous prime is 172171093. The next prime is 172171151. The reversal of 172171120 is 21171271.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 172171091 and 172171100.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 84352 + ... + 86368.

Almost surely, 2^172171120 is an apocalyptic number.

172171120 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 172171120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220704624).

172171120 is an abundant number, since it is smaller than the sum of its proper divisors (269238128).

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

172171120 is a wasteful number, since it uses less digits than its factorization.

172171120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2138 (or 2132 counting only the distinct ones).

The product of its (nonzero) digits is 196, while the sum is 22.

The square root of 172171120 is about 13121.3993156218. The cubic root of 172171120 is about 556.3141436782.

The spelling of 172171120 in words is "one hundred seventy-two million, one hundred seventy-one thousand, one hundred twenty".