729225133504 has 112 divisors (see below), whose sum is σ = 1700765793280. Its totient is φ = 303668352000.

The previous prime is 729225133339. The next prime is 729225133523. The reversal of 729225133504 is 405331522927.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-3 number, since 3×729225133504³ (a number of 37 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12419287 + ... + 12477865.

Almost surely, 2^729225133504 is an apocalyptic number.

729225133504 is a gapful number since it is divisible by the number (74) 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 729225133504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (850382896640).

729225133504 is an abundant number, since it is smaller than the sum of its proper divisors (971540659776).

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

729225133504 is a wasteful number, since it uses less digits than its factorization.

729225133504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59386 (or 59376 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 43.

The spelling of 729225133504 in words is "seven hundred twenty-nine billion, two hundred twenty-five million, one hundred thirty-three thousand, five hundred four".