729273139200 has 918 divisors, whose sum is σ = 2777254768314. Its totient is φ = 182892625920.

The previous prime is 729273139187. The next prime is 729273139207. The reversal of 729273139200 is 2931372927.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 61535748096 + 667737391104 = 248064^2 + 817152^2 .

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 (729273139207) by changing a digit.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 5323161532 + ... + 5323161668.

Almost surely, 2^729273139200 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 729273139200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1388627384157).

729273139200 is an abundant number, since it is smaller than the sum of its proper divisors (2047981629114).

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

729273139200 is a wasteful number, since it uses less digits than its factorization.

729273139200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 223 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 285768, while the sum is 45.

The spelling of 729273139200 in words is "seven hundred twenty-nine billion, two hundred seventy-three million, one hundred thirty-nine thousand, two hundred".