725281142400 has 288 divisors, whose sum is σ = 2595337063020. Its totient is φ = 192857702400.

The previous prime is 725281142381. The next prime is 725281142407. The reversal of 725281142400 is 4241182527.

It can be written as a sum of positive squares in 6 ways, for example, as 106239491136 + 619041651264 = 325944^2 + 786792^2 .

It is a tau number, because it is divible by the number of its divisors (288).

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 (725281142407) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 10130730 + ... + 10202070.

Almost surely, 2^725281142400 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 725281142400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1297668531510).

725281142400 is an abundant number, since it is smaller than the sum of its proper divisors (1870055920620).

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

725281142400 is a wasteful number, since it uses less digits than its factorization.

725281142400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71724 (or 71704 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 36.

The spelling of 725281142400 in words is "seven hundred twenty-five billion, two hundred eighty-one million, one hundred forty-two thousand, four hundred".