172480 has 84 divisors (see below), whose sum is σ = 521208. Its totient is φ = 53760.

The previous prime is 172441. The next prime is 172489. The reversal of 172480 is 84271.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (172489) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15675 + ... + 15685.

2¹⁷²⁴⁸⁰ is an apocalyptic number.

172480 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 172480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260604).

172480 is an abundant number, since it is smaller than the sum of its proper divisors (348728).

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

172480 is a wasteful number, since it uses less digits than its factorization.

172480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42 (or 25 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 22.

The square root of 172480 is about 415.3071152774. The cubic root of 172480 is about 55.6646626184.

Subtracting from 172480 its reverse (84271), we obtain a square (88209 = 297²).

The spelling of 172480 in words is "one hundred seventy-two thousand, four hundred eighty".