725711840 has 192 divisors, whose sum is σ = 2097446400. Its totient is φ = 231745536.

The previous prime is 725711813. The next prime is 725711843. The reversal of 725711840 is 48117527.

725711840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 725711840.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (725711843) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1425506 + ... + 1426014.

It is an arithmetic number, because the mean of its divisors is an integer number (10924200).

Almost surely, 2^725711840 is an apocalyptic number.

725711840 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 725711840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1048723200).

725711840 is an abundant number, since it is smaller than the sum of its proper divisors (1371734560).

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

725711840 is a wasteful number, since it uses less digits than its factorization.

725711840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 617 (or 609 counting only the distinct ones).

The product of its (nonzero) digits is 15680, while the sum is 35.

The square root of 725711840 is about 26939.0393295678. The cubic root of 725711840 is about 898.6448081554.

The spelling of 725711840 in words is "seven hundred twenty-five million, seven hundred eleven thousand, eight hundred forty".