725693248 has 56 divisors (see below), whose sum is σ = 1648553472. Its totient is φ = 310485504.

The previous prime is 725693209. The next prime is 725693251. The reversal of 725693248 is 842396527.

It is a tau number, because it is divible by the number of its divisors (56).

It is a junction number, because it is equal to n+sod(n) for n = 725693198 and 725693207.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 385686 + ... + 387562.

Almost surely, 2^725693248 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 725693248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (824276736).

725693248 is an abundant number, since it is smaller than the sum of its proper divisors (922860224).

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

725693248 is a wasteful number, since it uses less digits than its factorization.

725693248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2759 (or 2749 counting only the distinct ones).

The product of its digits is 725760, while the sum is 46.

The square root of 725693248 is about 26938.6942519492. The cubic root of 725693248 is about 898.6371339675.

The spelling of 725693248 in words is "seven hundred twenty-five million, six hundred ninety-three thousand, two hundred forty-eight".