729750384 has 240 divisors, whose sum is σ = 2346349824. Its totient is φ = 217728000.

The previous prime is 729750383. The next prime is 729750391. The reversal of 729750384 is 483057927.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (729750383) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4832709 + ... + 4832859.

Almost surely, 2^729750384 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 729750384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1173174912).

729750384 is an abundant number, since it is smaller than the sum of its proper divisors (1616599440).

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

729750384 is a wasteful number, since it uses less digits than its factorization.

729750384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 298 (or 280 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The square root of 729750384 is about 27013.8924259352. The cubic root of 729750384 is about 900.3086941078.

The spelling of 729750384 in words is "seven hundred twenty-nine million, seven hundred fifty thousand, three hundred eighty-four".