725079600 has 600 divisors, whose sum is σ = 3125633280. Its totient is φ = 157386240.

The previous prime is 725079587. The next prime is 725079601. The reversal of 725079600 is 6970527.

It is a tau number, because it is divible by the number of its divisors (600).

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

It is not an unprimeable number, because it can be changed into a prime (725079601) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 5216331 + ... + 5216469.

Almost surely, 2^725079600 is an apocalyptic number.

725079600 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 725079600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1562816640).

725079600 is an abundant number, since it is smaller than the sum of its proper divisors (2400553680).

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

725079600 is a wasteful number, since it uses less digits than its factorization.

725079600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 26460, while the sum is 36.

The square root of 725079600 is about 26927.3021299944. The cubic root of 725079600 is about 898.3837659457.

The spelling of 725079600 in words is "seven hundred twenty-five million, seventy-nine thousand, six hundred".