723120 has 80 divisors (see below), whose sum is σ = 2356992. Its totient is φ = 183040.

The previous prime is 723119. The next prime is 723127. The reversal of 723120 is 21327.

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 (15).

It is a self number, because there is not a number n which added to its sum of digits gives 723120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (723127) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 5455 + ... + 5585.

2⁷²³¹²⁰ 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 723120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1178496).

723120 is an abundant number, since it is smaller than the sum of its proper divisors (1633872).

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

723120 is a wasteful number, since it uses less digits than its factorization.

723120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170 (or 164 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 15.

The square root of 723120 is about 850.3646276745. The cubic root of 723120 is about 89.7573711820.

Adding to 723120 its reverse (21327), we get a palindrome (744447).

The spelling of 723120 in words is "seven hundred twenty-three thousand, one hundred twenty", and thus it is an iban number.