725124960 has 240 divisors, whose sum is σ = 2925036576. Its totient is φ = 165722112.

The previous prime is 725124947. The next prime is 725124973. The reversal of 725124960 is 69421527.

It is an interprime number because it is at equal distance from previous prime (725124947) and next prime (725124973).

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a congruent number.

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 86724 + ... + 94716.

Almost surely, 2^725124960 is an apocalyptic number.

725124960 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 725124960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1462518288).

725124960 is an abundant number, since it is smaller than the sum of its proper divisors (2199911616).

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

725124960 is a wasteful number, since it uses less digits than its factorization.

725124960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8027 (or 8010 counting only the distinct ones).

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

The square root of 725124960 is about 26928.1443846397. The cubic root of 725124960 is about 898.4024994466.

The spelling of 725124960 in words is "seven hundred twenty-five million, one hundred twenty-four thousand, nine hundred sixty".