723089397072 has 320 divisors, whose sum is σ = 2386690099200. Its totient is φ = 183644651520.

The previous prime is 723089397067. The next prime is 723089397077. The reversal of 723089397072 is 270793980327.

It is an interprime number because it is at equal distance from previous prime (723089397067) and next prime (723089397077).

It is a Smith number, since the sum of its digits (57) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (723089397077) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 35912704 + ... + 35932832.

It is an arithmetic number, because the mean of its divisors is an integer number (7458406560).

Almost surely, 2^723089397072 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 723089397072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1193345049600).

723089397072 is an abundant number, since it is smaller than the sum of its proper divisors (1663600702128).

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

723089397072 is a wasteful number, since it uses less digits than its factorization.

723089397072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20514 (or 20508 counting only the distinct ones).

The product of its (nonzero) digits is 8001504, while the sum is 57.

The spelling of 723089397072 in words is "seven hundred twenty-three billion, eighty-nine million, three hundred ninety-seven thousand, seventy-two".