725011200 has 324 divisors, whose sum is σ = 2663949288. Its totient is φ = 188006400.

The previous prime is 725011193. The next prime is 725011201. The reversal of 725011200 is 2110527.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (725011201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2361447 + ... + 2361753.

Almost surely, 2^725011200 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 725011200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1331974644).

725011200 is an abundant number, since it is smaller than the sum of its proper divisors (1938938088).

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

725011200 is a wasteful number, since it uses less digits than its factorization.

725011200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 380 (or 358 counting only the distinct ones).

The product of its (nonzero) digits is 140, while the sum is 18.

The square root of 725011200 is about 26926.0320136481. The cubic root of 725011200 is about 898.3555155385.

Adding to 725011200 its reverse (2110527), we get a palindrome (727121727).

The spelling of 725011200 in words is "seven hundred twenty-five million, eleven thousand, two hundred".