729849120 has 768 divisors, whose sum is σ = 3251404800. Its totient is φ = 135475200.

The previous prime is 729849103. The next prime is 729849121. The reversal of 729849120 is 21948927.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (729849121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 23543505 + ... + 23543535.

It is an arithmetic number, because the mean of its divisors is an integer number (4233600).

Almost surely, 2^729849120 is an apocalyptic number.

729849120 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 729849120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1625702400).

729849120 is an abundant number, since it is smaller than the sum of its proper divisors (2521555680).

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

729849120 is a wasteful number, since it uses less digits than its factorization.

729849120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 42.

The square root of 729849120 is about 27015.7198682545. The cubic root of 729849120 is about 900.3492965167.

The spelling of 729849120 in words is "seven hundred twenty-nine million, eight hundred forty-nine thousand, one hundred twenty".