720612 has 36 divisors (see below), whose sum is σ = 1874236. Its totient is φ = 233280.

The previous prime is 720611. The next prime is 720617. The reversal of 720612 is 216027.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 484416 + 236196 = 696^2 + 486^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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 720612.

It is not an unprimeable number, because it can be changed into a prime (720611) 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 11 ways as a sum of consecutive naturals, for example, 1062 + ... + 1602.

2⁷²⁰⁶¹² 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 720612, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (937118).

720612 is an abundant number, since it is smaller than the sum of its proper divisors (1153624).

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

720612 is a wasteful number, since it uses less digits than its factorization.

720612 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 588 (or 583 counting only the distinct ones).

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

The square root of 720612 is about 848.8886852821. Note that the first 3 decimals coincide. The cubic root of 720612 is about 89.6534823663.

Adding to 720612 its reverse (216027), we get a palindrome (936639).

The spelling of 720612 in words is "seven hundred twenty thousand, six hundred twelve".