172140 has 48 divisors (see below), whose sum is σ = 510720. Its totient is φ = 43200.

The previous prime is 172127. The next prime is 172147. The reversal of 172140 is 41271.

172140 = T₆₄ + T₆₅ + ... + T₁₀₈.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 172140.

It is not an unprimeable number, because it can be changed into a prime (172147) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1065 + ... + 1215.

It is an arithmetic number, because the mean of its divisors is an integer number (10640).

2¹⁷²¹⁴⁰ is an apocalyptic number.

172140 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 172140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255360).

172140 is an abundant number, since it is smaller than the sum of its proper divisors (338580).

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

172140 is a wasteful number, since it uses less digits than its factorization.

172140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 56, while the sum is 15.

The square root of 172140 is about 414.8975777225. The cubic root of 172140 is about 55.6280623656.

172140 divided by its sum of digits (15) gives a triangular number (11476 = T₁₅₁).

The spelling of 172140 in words is "one hundred seventy-two thousand, one hundred forty", and thus it is an iban number.