729804024 has 96 divisors (see below), whose sum is σ = 2056438800. Its totient is φ = 233533440.

The previous prime is 729804017. The next prime is 729804073. The reversal of 729804024 is 420408927.

It is a super-2 number, since 2×729804024² = 1065227826893185152, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 729804024.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 402079 + ... + 403889.

Almost surely, 2^729804024 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 729804024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1028219400).

729804024 is an abundant number, since it is smaller than the sum of its proper divisors (1326634776).

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

729804024 is a wasteful number, since it uses less digits than its factorization.

729804024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2045 (or 2038 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 729804024 is about 27014.8852301837. The cubic root of 729804024 is about 900.3307525067.

The spelling of 729804024 in words is "seven hundred twenty-nine million, eight hundred four thousand, twenty-four".