725587200 has 864 divisors, whose sum is σ = 3193545600. Its totient is φ = 159252480.

The previous prime is 725587199. The next prime is 725587201. The reversal of 725587200 is 2785527.

725587200 is a `hidden beast` number, since 72 + 5 + 587 + 2 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (725587199) and next prime (725587201).

It is a tau number, because it is divible by the number of its divisors (864).

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 (725587201) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 38188791 + ... + 38188809.

Almost surely, 2^725587200 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 725587200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1596772800).

725587200 is an abundant number, since it is smaller than the sum of its proper divisors (2467958400).

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

725587200 is a wasteful number, since it uses less digits than its factorization.

725587200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 39200, while the sum is 36.

The square root of 725587200 is about 26936.7258589458. The cubic root of 725587200 is about 898.5933582108.

The spelling of 725587200 in words is "seven hundred twenty-five million, five hundred eighty-seven thousand, two hundred".