729924 has 24 divisors (see below), whose sum is σ = 1834560. Its totient is φ = 224544.

The previous prime is 729919. The next prime is 729931. The reversal of 729924 is 429927.

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, 2184 + ... + 2495.

It is an arithmetic number, because the mean of its divisors is an integer number (76440).

2⁷²⁹⁹²⁴ is an apocalyptic number.

It is an amenable number.

729924 is an abundant number, since it is smaller than the sum of its proper divisors (1104636).

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

729924 is a wasteful number, since it uses less digits than its factorization.

729924 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4699 (or 4697 counting only the distinct ones).

The product of its digits is 9072, while the sum is 33.

The square root of 729924 is about 854.3558977382. The cubic root of 729924 is about 90.0380086374.

It can be divided in two parts, 729 and 924, that added together give a triangular number (1653 = T₅₇).

The spelling of 729924 in words is "seven hundred twenty-nine thousand, nine hundred twenty-four".