724857507072 has 504 divisors, whose sum is σ = 2260128108168. Its totient is φ = 231712358400.

The previous prime is 724857507067. The next prime is 724857507107. The reversal of 724857507072 is 270705758427.

It can be written as a sum of positive squares in 4 ways, for example, as 121538693376 + 603318813696 = 348624^2 + 776736^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 466745848 + ... + 466747400.

It is an arithmetic number, because the mean of its divisors is an integer number (4484381167).

Almost surely, 2^724857507072 is an apocalyptic number.

724857507072 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 724857507072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1130064054084).

724857507072 is an abundant number, since it is smaller than the sum of its proper divisors (1535270601096).

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

724857507072 is an equidigital number, since it uses as much as digits as its factorization.

724857507072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1689 (or 1660 counting only the distinct ones).

The product of its (nonzero) digits is 7683200, while the sum is 54.

The spelling of 724857507072 in words is "seven hundred twenty-four billion, eight hundred fifty-seven million, five hundred seven thousand, seventy-two".