729034127304 has 160 divisors (see below), whose sum is σ = 2139294897120. Its totient is φ = 207014911488.

The previous prime is 729034127299. The next prime is 729034127309. The reversal of 729034127304 is 403721430927.

It is an interprime number because it is at equal distance from previous prime (729034127299) and next prime (729034127309).

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

It is not an unprimeable number, because it can be changed into a prime (729034127309) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 9353904 + ... + 9431520.

It is an arithmetic number, because the mean of its divisors is an integer number (13370593107).

Almost surely, 2^729034127304 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 729034127304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1069647448560).

729034127304 is an abundant number, since it is smaller than the sum of its proper divisors (1410260769816).

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

729034127304 is a wasteful number, since it uses less digits than its factorization.

729034127304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77817 (or 77792 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 42.

The spelling of 729034127304 in words is "seven hundred twenty-nine billion, thirty-four million, one hundred twenty-seven thousand, three hundred four".