725687424 has 448 divisors, whose sum is σ = 2729177280. Its totient is φ = 186624000.

The previous prime is 725687407. The next prime is 725687429. The reversal of 725687424 is 424786527.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (448).

It is a self number, because there is not a number n which added to its sum of digits gives 725687424.

It is not an unprimeable number, because it can be changed into a prime (725687429) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 7184974 + ... + 7185074.

Almost surely, 2^725687424 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 725687424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1364588640).

725687424 is an abundant number, since it is smaller than the sum of its proper divisors (2003489856).

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

725687424 is a wasteful number, since it uses less digits than its factorization.

725687424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151 (or 124 counting only the distinct ones).

The product of its digits is 752640, while the sum is 45.

The square root of 725687424 is about 26938.5861544365. The cubic root of 725687424 is about 898.6347299781.

The spelling of 725687424 in words is "seven hundred twenty-five million, six hundred eighty-seven thousand, four hundred twenty-four".