729531360 has 240 divisors, whose sum is σ = 2597186592. Its totient is φ = 192844800.

The previous prime is 729531359. The next prime is 729531371. The reversal of 729531360 is 63135927.

729531360 is a `hidden beast` number, since 7 + 295 + 3 + 1 + 360 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2345605 + ... + 2345915.

Almost surely, 2^729531360 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 729531360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1298593296).

729531360 is an abundant number, since it is smaller than the sum of its proper divisors (1867655232).

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

729531360 is a wasteful number, since it uses less digits than its factorization.

729531360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 519 (or 502 counting only the distinct ones).

The product of its (nonzero) digits is 34020, while the sum is 36.

The square root of 729531360 is about 27009.8382075865. The cubic root of 729531360 is about 900.2186135603.

The spelling of 729531360 in words is "seven hundred twenty-nine million, five hundred thirty-one thousand, three hundred sixty".