723971520 has 560 divisors, whose sum is σ = 2867851008. Its totient is φ = 172523520.

The previous prime is 723971473. The next prime is 723971527. The reversal of 723971520 is 25179327.

723971520 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×723971520² = 1048269523542220800, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (723971527) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 13659814 + ... + 13659866.

Almost surely, 2^723971520 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 723971520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1433925504).

723971520 is an abundant number, since it is smaller than the sum of its proper divisors (2143879488).

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

723971520 is a wasteful number, since it uses less digits than its factorization.

723971520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 26460, while the sum is 36.

The square root of 723971520 is about 26906.7188635107. The cubic root of 723971520 is about 897.9258904157.

The spelling of 723971520 in words is "seven hundred twenty-three million, nine hundred seventy-one thousand, five hundred twenty".