724775040 has 640 divisors, whose sum is σ = 2985776640. Its totient is φ = 165888000.

The previous prime is 724775027. The next prime is 724775041. The reversal of 724775040 is 40577427.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (640).

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

It is a junction number, because it is equal to n+sod(n) for n = 724774986 and 724775004.

It is not an unprimeable number, because it can be changed into a prime (724775041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 17677420 + ... + 17677460.

It is an arithmetic number, because the mean of its divisors is an integer number (4665276).

Almost surely, 2^724775040 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 724775040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1492888320).

724775040 is an abundant number, since it is smaller than the sum of its proper divisors (2261001600).

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

724775040 is a wasteful number, since it uses less digits than its factorization.

724775040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 54880, while the sum is 36.

The square root of 724775040 is about 26921.6463092434. The cubic root of 724775040 is about 898.2579636303.

The spelling of 724775040 in words is "seven hundred twenty-four million, seven hundred seventy-five thousand, forty".