723625056 has 384 divisors, whose sum is σ = 2685312000. Its totient is φ = 184135680.

The previous prime is 723625039. The next prime is 723625073. The reversal of 723625056 is 650526327.

It is a happy number.

723625056 is a `hidden beast` number, since 7 + 23 + 625 + 0 + 5 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (723625039) and next prime (723625073).

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

It is a self number, because there is not a number n which added to its sum of digits gives 723625056.

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 4856470 + ... + 4856618.

It is an arithmetic number, because the mean of its divisors is an integer number (6993000).

Almost surely, 2^723625056 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 723625056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1342656000).

723625056 is an abundant number, since it is smaller than the sum of its proper divisors (1961686944).

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

723625056 is a wasteful number, since it uses less digits than its factorization.

723625056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 259 (or 245 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 36.

The square root of 723625056 is about 26900.2798498454. The cubic root of 723625056 is about 897.7826303441.

The spelling of 723625056 in words is "seven hundred twenty-three million, six hundred twenty-five thousand, fifty-six".