725155200 has 768 divisors, whose sum is σ = 3339072000. Its totient is φ = 149299200.

The previous prime is 725155199. The next prime is 725155243. The reversal of 725155200 is 2551527.

It is a happy number.

725155200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6652746 + ... + 6652854.

It is an arithmetic number, because the mean of its divisors is an integer number (4347750).

Almost surely, 2^725155200 is an apocalyptic number.

725155200 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 725155200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1669536000).

725155200 is an abundant number, since it is smaller than the sum of its proper divisors (2613916800).

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

725155200 is a wasteful number, since it uses less digits than its factorization.

725155200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 3500, while the sum is 27.

The square root of 725155200 is about 26928.7058731013. The cubic root of 725155200 is about 898.4149880131.

The spelling of 725155200 in words is "seven hundred twenty-five million, one hundred fifty-five thousand, two hundred".