725097139200 has 1584 divisors, whose sum is σ = 3148279449600. Its totient is φ = 163034726400.

The previous prime is 725097139199. The next prime is 725097139201. The reversal of 725097139200 is 2931790527.

725097139200 is a `hidden beast` number, since 7 + 2 + 509 + 7 + 139 + 2 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (725097139199) and next prime (725097139201).

It is a super-2 number, since 2×725097139200² (a number of 25 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (725097139201) 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, 2675635065 + ... + 2675635335.

Almost surely, 2^725097139200 is an apocalyptic number.

725097139200 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 725097139200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1574139724800).

725097139200 is an abundant number, since it is smaller than the sum of its proper divisors (2423182310400).

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

725097139200 is a wasteful number, since it uses less digits than its factorization.

725097139200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 403 (or 367 counting only the distinct ones).

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

The spelling of 725097139200 in words is "seven hundred twenty-five billion, ninety-seven million, one hundred thirty-nine thousand, two hundred".