725440748760 has 2304 divisors, whose sum is σ = 3362417049600. Its totient is φ = 137607579648.

The previous prime is 725440748743. The next prime is 725440748789. The reversal of 725440748760 is 67847044527.

725440748760 is a `hidden beast` number, since 72 + 5 + 440 + 74 + 8 + 7 + 60 = 666.

It is a super-2 number, since 2×725440748760² (a number of 25 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 725440748697 and 725440748706.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 5712131817 + ... + 5712131943.

It is an arithmetic number, because the mean of its divisors is an integer number (1459382400).

Almost surely, 2^725440748760 is an apocalyptic number.

725440748760 is a gapful number since it is divisible by the number (70) 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 725440748760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1681208524800).

725440748760 is an abundant number, since it is smaller than the sum of its proper divisors (2636976300840).

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

725440748760 is a wasteful number, since it uses less digits than its factorization.

725440748760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235 (or 199 counting only the distinct ones).

The product of its (nonzero) digits is 10536960, while the sum is 54.

The spelling of 725440748760 in words is "seven hundred twenty-five billion, four hundred forty million, seven hundred forty-eight thousand, seven hundred sixty".