172620 has 72 divisors (see below), whose sum is σ = 602784. Its totient is φ = 39168.

The previous prime is 172619. The next prime is 172633. The reversal of 172620 is 26271.

It is a happy number.

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 = 172593 and 172602.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 1192 + ... + 1328.

It is an arithmetic number, because the mean of its divisors is an integer number (8372).

2¹⁷²⁶²⁰ is an apocalyptic number.

172620 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 172620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (301392).

172620 is an abundant number, since it is smaller than the sum of its proper divisors (430164).

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

172620 is a wasteful number, since it uses less digits than its factorization.

172620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 172620 is about 415.4756310543. The cubic root of 172620 is about 55.6797193307.

Adding to 172620 its reverse (26271), we get a palindrome (198891).

The spelling of 172620 in words is "one hundred seventy-two thousand, six hundred twenty".