725424000 has 512 divisors, whose sum is σ = 2932899840. Its totient is φ = 154828800.

The previous prime is 725423987. The next prime is 725424001. The reversal of 725424000 is 424527.

It is a super-3 number, since 3×725424000³ (a number of 28 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (725424001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5711937 + ... + 5712063.

It is an arithmetic number, because the mean of its divisors is an integer number (5728320).

Almost surely, 2^725424000 is an apocalyptic number.

725424000 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 725424000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1466449920).

725424000 is an abundant number, since it is smaller than the sum of its proper divisors (2207475840).

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

725424000 is a wasteful number, since it uses less digits than its factorization.

725424000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 24.

The square root of 725424000 is about 26933.6963671903. The cubic root of 725424000 is about 898.5259822371.

Adding to 725424000 its reverse (424527), we get a palindrome (725848527).

The spelling of 725424000 in words is "seven hundred twenty-five million, four hundred twenty-four thousand".