724528080 has 120 divisors (see below), whose sum is σ = 2499061032. Its totient is φ = 187978752.

The previous prime is 724528067. The next prime is 724528081. The reversal of 724528080 is 80825427.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 215032896 + 509495184 = 14664^2 + 22572^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (724528081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13042 + ... + 40238.

Almost surely, 2^724528080 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 724528080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1249530516).

724528080 is an abundant number, since it is smaller than the sum of its proper divisors (1774532952).

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

724528080 is a wasteful number, since it uses less digits than its factorization.

724528080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27253 (or 27244 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 36.

The square root of 724528080 is about 26917.0592747425. The cubic root of 724528080 is about 898.1559278375.

The spelling of 724528080 in words is "seven hundred twenty-four million, five hundred twenty-eight thousand, eighty".