729858144 has 48 divisors (see below), whose sum is σ = 2028580848. Its totient is φ = 228974592.

The previous prime is 729858121. The next prime is 729858163. The reversal of 729858144 is 441858927.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 729858093 and 729858102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 221977 + ... + 225240.

It is an arithmetic number, because the mean of its divisors is an integer number (42262101).

Almost surely, 2^729858144 is an apocalyptic number.

It is an amenable number.

729858144 is an abundant number, since it is smaller than the sum of its proper divisors (1298722704).

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

729858144 is a wasteful number, since it uses less digits than its factorization.

729858144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 447247 (or 447239 counting only the distinct ones).

The product of its digits is 645120, while the sum is 48.

The square root of 729858144 is about 27015.8868816110. The cubic root of 729858144 is about 900.3530072008.

The spelling of 729858144 in words is "seven hundred twenty-nine million, eight hundred fifty-eight thousand, one hundred forty-four".