720306 has 16 divisors (see below), whose sum is σ = 1600800. Its totient is φ = 240084.

The previous prime is 720301. The next prime is 720311. The reversal of 720306 is 603027.

It is an interprime number because it is at equal distance from previous prime (720301) and next prime (720311).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 720306.

It is not an unprimeable number, because it can be changed into a prime (720301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6616 + ... + 6723.

It is an arithmetic number, because the mean of its divisors is an integer number (100050).

2⁷²⁰³⁰⁶ is an apocalyptic number.

720306 is an abundant number, since it is smaller than the sum of its proper divisors (880494).

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

720306 is a wasteful number, since it uses less digits than its factorization.

720306 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13350 (or 13344 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 18.

The square root of 720306 is about 848.7084304990. The cubic root of 720306 is about 89.6407904462.

The spelling of 720306 in words is "seven hundred twenty thousand, three hundred six".