729065400 has 192 divisors, whose sum is σ = 2735182080. Its totient is φ = 156825600.

The previous prime is 729065341. The next prime is 729065411. The reversal of 729065400 is 4560927.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 66295 + ... + 76505.

It is an arithmetic number, because the mean of its divisors is an integer number (14245740).

Almost surely, 2^729065400 is an apocalyptic number.

729065400 is a gapful number since it is divisible by the number (70) 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 729065400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1367591040).

729065400 is an abundant number, since it is smaller than the sum of its proper divisors (2006116680).

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

729065400 is a wasteful number, since it uses less digits than its factorization.

729065400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10254 (or 10245 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 33.

The square root of 729065400 is about 27001.2110839495. The cubic root of 729065400 is about 900.0269127755.

The spelling of 729065400 in words is "seven hundred twenty-nine million, sixty-five thousand, four hundred".