725932800 has 216 divisors, whose sum is σ = 2662555280. Its totient is φ = 193536000.

The previous prime is 725932799. The next prime is 725932807. The reversal of 725932800 is 8239527.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (216).

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 (725932807) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 170700 + ... + 174900.

Almost surely, 2^725932800 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 725932800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1331277640).

725932800 is an abundant number, since it is smaller than the sum of its proper divisors (1936622480).

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

725932800 is a wasteful number, since it uses less digits than its factorization.

725932800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4236 (or 4211 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 725932800 is about 26943.1401287972. The cubic root of 725932800 is about 898.7360034006.

The spelling of 725932800 in words is "seven hundred twenty-five million, nine hundred thirty-two thousand, eight hundred".