168720 has 80 divisors (see below), whose sum is σ = 565440. Its totient is φ = 41472.

The previous prime is 168719. The next prime is 168731. The reversal of 168720 is 27861.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4542 + ... + 4578.

It is an arithmetic number, because the mean of its divisors is an integer number (7068).

2¹⁶⁸⁷²⁰ is an apocalyptic number.

168720 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 168720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282720).

168720 is an abundant number, since it is smaller than the sum of its proper divisors (396720).

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

168720 is a wasteful number, since it uses less digits than its factorization.

168720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 24.

The square root of 168720 is about 410.7554016687. The cubic root of 168720 is about 55.2571975909.

It can be divided in two parts, 168 and 720, that added together give a palindrome (888).

The spelling of 168720 in words is "one hundred sixty-eight thousand, seven hundred twenty".