729273600 has 324 divisors, whose sum is σ = 2846817792. Its totient is φ = 176640000.

The previous prime is 729273563. The next prime is 729273617. The reversal of 729273600 is 6372927.

729273600 is a `hidden beast` number, since 7 + 29 + 27 + 3 + 600 = 666.

729273600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 633025 + ... + 634175.

Almost surely, 2^729273600 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 729273600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1423408896).

729273600 is an abundant number, since it is smaller than the sum of its proper divisors (2117544192).

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

729273600 is a wasteful number, since it uses less digits than its factorization.

729273600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1194 (or 1172 counting only the distinct ones).

The product of its (nonzero) digits is 31752, while the sum is 36.

The square root of 729273600 is about 27005.0661913649. The cubic root of 729273600 is about 900.1125785099.

The spelling of 729273600 in words is "seven hundred twenty-nine million, two hundred seventy-three thousand, six hundred".