720288000 has 432 divisors, whose sum is σ = 2698546032. Its totient is φ = 184320000.

The previous prime is 720287999. The next prime is 720288001. The reversal of 720288000 is 882027.

It is an interprime number because it is at equal distance from previous prime (720287999) and next prime (720288001).

It can be written as a sum of positive squares in 8 ways, for example, as 620607744 + 99680256 = 24912^2 + 9984^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (720288001) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11807970 + ... + 11808030.

Almost surely, 2^720288000 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 720288000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1349273016).

720288000 is an abundant number, since it is smaller than the sum of its proper divisors (1978258032).

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

720288000 is a wasteful number, since it uses less digits than its factorization.

720288000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 720288000 is about 26838.1817565945. The cubic root of 720288000 is about 896.4004375077.

It can be divided in two parts, 720 and 288000, that multiplied together give a 4-th power (207360000 = 120⁴).

The spelling of 720288000 in words is "seven hundred twenty million, two hundred eighty-eight thousand".