725431824 has 120 divisors (see below), whose sum is σ = 2200267160. Its totient is φ = 223112448.

The previous prime is 725431823. The next prime is 725431831. The reversal of 725431824 is 428134527.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 296941824 + 428490000 = 17232^2 + 20700^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (725431823) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 315222 + ... + 317514.

Almost surely, 2^725431824 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 725431824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1100133580).

725431824 is an abundant number, since it is smaller than the sum of its proper divisors (1474835336).

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

725431824 is a wasteful number, since it uses less digits than its factorization.

725431824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2346 (or 2311 counting only the distinct ones).

The product of its digits is 53760, while the sum is 36.

The square root of 725431824 is about 26933.8416123657. The cubic root of 725431824 is about 898.5292125511.

The spelling of 725431824 in words is "seven hundred twenty-five million, four hundred thirty-one thousand, eight hundred twenty-four".