725299200 has 234 divisors, whose sum is σ = 2601166724. Its totient is φ = 193167360.

The previous prime is 725299199. The next prime is 725299231. The reversal of 725299200 is 2992527.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 921207 + ... + 921993.

Almost surely, 2^725299200 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 725299200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1300583362).

725299200 is an abundant number, since it is smaller than the sum of its proper divisors (1875867524).

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

725299200 is a wasteful number, since it uses less digits than its factorization.

725299200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 827 (or 797 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The square root of 725299200 is about 26931.3794670826. The cubic root of 725299200 is about 898.4744526150.

It can be divided in two parts, 725 and 299200, that added together give a triangular number (299925 = T₇₇₄).

The spelling of 725299200 in words is "seven hundred twenty-five million, two hundred ninety-nine thousand, two hundred".