729231360 has 416 divisors, whose sum is σ = 2774193408. Its totient is φ = 161218560.

The previous prime is 729231359. The next prime is 729231407. The reversal of 729231360 is 63132927.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (416).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8785879 + ... + 8785961.

Almost surely, 2^729231360 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 729231360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1387096704).

729231360 is an abundant number, since it is smaller than the sum of its proper divisors (2044962048).

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

729231360 is a wasteful number, since it uses less digits than its factorization.

729231360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 33.

The square root of 729231360 is about 27004.2841045639. The cubic root of 729231360 is about 900.0951998062.

The spelling of 729231360 in words is "seven hundred twenty-nine million, two hundred thirty-one thousand, three hundred sixty".