725245970400 has 432 divisors, whose sum is σ = 2926216710144. Its totient is φ = 165573411840.

The previous prime is 725245970389. The next prime is 725245970401. The reversal of 725245970400 is 4079542527.

725245970400 is a `hidden beast` number, since 7 + 2 + 52 + 4 + 597 + 0 + 4 + 0 + 0 = 666.

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 (725245970401) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 44696689 + ... + 44712911.

It is an arithmetic number, because the mean of its divisors is an integer number (6773649792).

Almost surely, 2^725245970400 is an apocalyptic number.

725245970400 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 725245970400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1463108355072).

725245970400 is an abundant number, since it is smaller than the sum of its proper divisors (2200970739744).

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

725245970400 is a wasteful number, since it uses less digits than its factorization.

725245970400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17143 (or 17127 counting only the distinct ones).

The product of its (nonzero) digits is 705600, while the sum is 45.

The spelling of 725245970400 in words is "seven hundred twenty-five billion, two hundred forty-five million, nine hundred seventy thousand, four hundred".