172280 has 32 divisors (see below), whose sum is σ = 399600. Its totient is φ = 66816.

The previous prime is 172279. The next prime is 172283. The reversal of 172280 is 82271.

172280 = T₄₅ + T₄₆ + ... + T₁₀₃.

172280 is nontrivially palindromic in base 9.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (172283) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2324 + ... + 2396.

2¹⁷²²⁸⁰ is an apocalyptic number.

172280 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 172280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199800).

172280 is an abundant number, since it is smaller than the sum of its proper divisors (227320).

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

172280 is a wasteful number, since it uses less digits than its factorization.

172280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 20.

The square root of 172280 is about 415.0662597707. The cubic root of 172280 is about 55.6431388894.

Subtracting from 172280 its reverse (82271), we obtain a palindrome (90009).

The spelling of 172280 in words is "one hundred seventy-two thousand, two hundred eighty".