723072917952 has 672 divisors, whose sum is σ = 2810019962880. Its totient is φ = 171979407360.

The previous prime is 723072917939. The next prime is 723072917999. The reversal of 723072917952 is 259719270327.

It is a happy number.

723072917952 is a `hidden beast` number, since 7 + 230 + 7 + 291 + 79 + 52 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 27884449 + ... + 27910367.

Almost surely, 2^723072917952 is an apocalyptic number.

723072917952 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 723072917952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1405009981440).

723072917952 is an abundant number, since it is smaller than the sum of its proper divisors (2086947044928).

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

723072917952 is a wasteful number, since it uses less digits than its factorization.

723072917952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26009 (or 25996 counting only the distinct ones).

The product of its (nonzero) digits is 3333960, while the sum is 54.

The spelling of 723072917952 in words is "seven hundred twenty-three billion, seventy-two million, nine hundred seventeen thousand, nine hundred fifty-two".