729140253072 has 240 divisors, whose sum is σ = 2391328088064. Its totient is φ = 189308448000.

The previous prime is 729140253041. The next prime is 729140253077. The reversal of 729140253072 is 270352041927.

It is a super-4 number, since 4×729140253072⁴ (a number of 49 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (729140253077) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 87727797 + ... + 87736107.

Almost surely, 2^729140253072 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 729140253072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1195664044032).

729140253072 is an abundant number, since it is smaller than the sum of its proper divisors (1662187834992).

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

729140253072 is a wasteful number, since it uses less digits than its factorization.

729140253072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11738 (or 11725 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 42.

Adding to 729140253072 its reverse (270352041927), we get a palindrome (999492294999).

The spelling of 729140253072 in words is "seven hundred twenty-nine billion, one hundred forty million, two hundred fifty-three thousand, seventy-two".