729607120 has 80 divisors (see below), whose sum is σ = 1864969920. Its totient is φ = 263244800.

The previous prime is 729607093. The next prime is 729607121. The reversal of 729607120 is 21706927.

It is a tau number, because it is divible by the number of its divisors (80).

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (729607121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 112116 + ... + 118444.

It is an arithmetic number, because the mean of its divisors is an integer number (23312124).

Almost surely, 2^729607120 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 729607120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (932484960).

729607120 is an abundant number, since it is smaller than the sum of its proper divisors (1135362800).

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

729607120 is a wasteful number, since it uses less digits than its factorization.

729607120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6484 (or 6478 counting only the distinct ones).

The product of its (nonzero) digits is 10584, while the sum is 34.

The square root of 729607120 is about 27011.2406231184. The cubic root of 729607120 is about 900.2497742959.

The spelling of 729607120 in words is "seven hundred twenty-nine million, six hundred seven thousand, one hundred twenty".