720168 has 32 divisors (see below), whose sum is σ = 1851360. Its totient is φ = 233280.

The previous prime is 720151. The next prime is 720173. The reversal of 720168 is 861027.

720168 = T₂₉₂ + T₂₉₃ + ... + T₃₀₇.

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

It is an unprimeable number.

720168 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 483 + ... + 1293.

It is an arithmetic number, because the mean of its divisors is an integer number (57855).

2⁷²⁰¹⁶⁸ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 720168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (925680).

720168 is an abundant number, since it is smaller than the sum of its proper divisors (1131192).

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

720168 is a wasteful number, since it uses less digits than its factorization.

720168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 857 (or 853 counting only the distinct ones).

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

The square root of 720168 is about 848.6271265992. The cubic root of 720168 is about 89.6350654631.

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

The spelling of 720168 in words is "seven hundred twenty thousand, one hundred sixty-eight".