725119937280 has 216 divisors, whose sum is σ = 2511430897248. Its totient is φ = 193165590528.

The previous prime is 725119937261. The next prime is 725119937299. The reversal of 725119937280 is 82739911527.

It is a happy number.

725119937280 is a `hidden beast` number, since 7 + 2 + 5 + 1 + 199 + 372 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (725119937261) and next prime (725119937299).

It is a super-2 number, since 2×725119937280² (a number of 25 digits) contains 22 as substring.

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 23 ways as a sum of consecutive naturals, for example, 11292144 + ... + 11356176.

Almost surely, 2^725119937280 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 725119937280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1255715448624).

725119937280 is an abundant number, since it is smaller than the sum of its proper divisors (1786310959968).

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

725119937280 is a wasteful number, since it uses less digits than its factorization.

725119937280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65043 (or 65026 counting only the distinct ones).

The product of its (nonzero) digits is 1905120, while the sum is 54.

The spelling of 725119937280 in words is "seven hundred twenty-five billion, one hundred nineteen million, nine hundred thirty-seven thousand, two hundred eighty".