725317942336 has 189 divisors, whose sum is σ = 1648705686453. Its totient is φ = 316407237120.

The previous prime is 725317942319. The next prime is 725317942337. The reversal of 725317942336 is 633249713527.

The square root of 725317942336 is 851656.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 107295553600 + 618022388736 = 327560^2 + 786144^2 .

It is a super-2 number, since 2×725317942336² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (725317942337) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1682872041 + ... + 1682872471.

Almost surely, 2^725317942336 is an apocalyptic number.

725317942336 is a gapful number since it is divisible by the number (76) formed by its first and last digit.

725317942336 is the 851656-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 725317942336

725317942336 is an abundant number, since it is smaller than the sum of its proper divisors (923387744117).

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

725317942336 is an equidigital number, since it uses as much as digits as its factorization.

725317942336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 938 (or 465 counting only the distinct ones).

The product of its digits is 5715360, while the sum is 52.

The spelling of 725317942336 in words is "seven hundred twenty-five billion, three hundred seventeen million, nine hundred forty-two thousand, three hundred thirty-six".