729834144 has 96 divisors (see below), whose sum is σ = 2091708864. Its totient is φ = 221460480.

The previous prime is 729834103. The next prime is 729834151. The reversal of 729834144 is 441438927.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 729834096 and 729834105.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 87099 + ... + 95109.

It is an arithmetic number, because the mean of its divisors is an integer number (21788634).

Almost surely, 2^729834144 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 729834144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1045854432).

729834144 is an abundant number, since it is smaller than the sum of its proper divisors (1361874720).

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

729834144 is a wasteful number, since it uses less digits than its factorization.

729834144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8110 (or 8102 counting only the distinct ones).

The product of its digits is 193536, while the sum is 42.

The square root of 729834144 is about 27015.4426948736. The cubic root of 729834144 is about 900.3431382926.

The spelling of 729834144 in words is "seven hundred twenty-nine million, eight hundred thirty-four thousand, one hundred forty-four".