725013504 has 110 divisors (see below), whose sum is σ = 2165279754. Its totient is φ = 241643520.

The previous prime is 725013503. The next prime is 725013511. The reversal of 725013504 is 405310527.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 517653504 + 207360000 = 22752^2 + 14400^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (725013503) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 78574 + ... + 87314.

Almost surely, 2^725013504 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 725013504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1082639877).

725013504 is an abundant number, since it is smaller than the sum of its proper divisors (1440266250).

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

725013504 is an equidigital number, since it uses as much as digits as its factorization.

725013504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8773 (or 8746 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 27.

The square root of 725013504 is about 26926.0747974895. The cubic root of 725013504 is about 898.3564671601.

The spelling of 725013504 in words is "seven hundred twenty-five million, thirteen thousand, five hundred four".