723821040 has 240 divisors, whose sum is σ = 2566175040. Its totient is φ = 182476800.

The previous prime is 723821039. The next prime is 723821041. The reversal of 723821040 is 40128327.

It is an interprime number because it is at equal distance from previous prime (723821039) and next prime (723821041).

It is a tau number, because it is divible by the number of its divisors (240).

It is a junction number, because it is equal to n+sod(n) for n = 723820995 and 723821013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (723821041) 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 47 ways as a sum of consecutive naturals, for example, 1804840 + ... + 1805240.

It is an arithmetic number, because the mean of its divisors is an integer number (10692396).

Almost surely, 2^723821040 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 723821040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1283087520).

723821040 is an abundant number, since it is smaller than the sum of its proper divisors (1842354000).

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

723821040 is a wasteful number, since it uses less digits than its factorization.

723821040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 552 (or 543 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 723821040 is about 26903.9223906106. The cubic root of 723821040 is about 897.8636737644.

Adding to 723821040 its reverse (40128327), we get a palindrome (763949367).

The spelling of 723821040 in words is "seven hundred twenty-three million, eight hundred twenty-one thousand, forty".