172005120 has 432 divisors, whose sum is σ = 714255360. Its totient is φ = 38817792.

The previous prime is 172005103. The next prime is 172005131. The reversal of 172005120 is 21500271.

It is a tau number, because it is divible by the number of its divisors (432).

It is a super-2 number, since 2×172005120² = 59171522612428800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 172005093 and 172005102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2177241 + ... + 2177319.

Almost surely, 2^172005120 is an apocalyptic number.

172005120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

172005120 is the 8295-th heptagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 172005120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (357127680).

172005120 is an abundant number, since it is smaller than the sum of its proper divisors (542250240).

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

172005120 is an frugal number, since it uses more digits than its factorization.

172005120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 140, while the sum is 18.

The square root of 172005120 is about 13115.0722453214. The cubic root of 172005120 is about 556.1352947843.

Adding to 172005120 its reverse (21500271), we get a palindrome (193505391).

The spelling of 172005120 in words is "one hundred seventy-two million, five thousand, one hundred twenty".