725099760 has 720 divisors, whose sum is σ = 3241667520. Its totient is φ = 141926400.

The previous prime is 725099747. The next prime is 725099761. The reversal of 725099760 is 67990527.

725099760 = T₄₀₉ + T₄₁₀ + ... + T₁₆₄₀.

725099760 is a `hidden beast` number, since 72 + 509 + 9 + 76 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (725099761) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 17685340 + ... + 17685380.

It is an arithmetic number, because the mean of its divisors is an integer number (4502316).

Almost surely, 2^725099760 is an apocalyptic number.

725099760 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 725099760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1620833760).

725099760 is an abundant number, since it is smaller than the sum of its proper divisors (2516567760).

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

725099760 is a wasteful number, since it uses less digits than its factorization.

725099760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118 (or 98 counting only the distinct ones).

The product of its (nonzero) digits is 238140, while the sum is 45.

The square root of 725099760 is about 26927.6764686447. The cubic root of 725099760 is about 898.3920920426.

The spelling of 725099760 in words is "seven hundred twenty-five million, ninety-nine thousand, seven hundred sixty".