723378240 has 252 divisors, whose sum is σ = 2698929324. Its totient is φ = 176781312.

The previous prime is 723378209. The next prime is 723378247. The reversal of 723378240 is 42873327.

It can be written as a sum of positive squares in 2 ways, for example, as 178062336 + 545315904 = 13344^2 + 23352^2 .

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 = 723378195 and 723378204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (723378247) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 5204091 + ... + 5204229.

It is an arithmetic number, because the mean of its divisors is an integer number (10710037).

Almost surely, 2^723378240 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 723378240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1349464662).

723378240 is an abundant number, since it is smaller than the sum of its proper divisors (1975551084).

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

723378240 is a wasteful number, since it uses less digits than its factorization.

723378240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 314 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 36.

The square root of 723378240 is about 26895.6918483240. The cubic root of 723378240 is about 897.6805460239.

The spelling of 723378240 in words is "seven hundred twenty-three million, three hundred seventy-eight thousand, two hundred forty".