729993924 has 96 divisors (see below), whose sum is σ = 2069988480. Its totient is φ = 220636800.

The previous prime is 729993919. The next prime is 729993973. The reversal of 729993924 is 429399927.

It is a super-2 number, since 2×729993924² = 1065782258153835552, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 775294 + ... + 776234.

It is an arithmetic number, because the mean of its divisors is an integer number (21562380).

Almost surely, 2^729993924 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 729993924, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1034994240).

729993924 is an abundant number, since it is smaller than the sum of its proper divisors (1339994556).

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

729993924 is a wasteful number, since it uses less digits than its factorization.

729993924 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1618 (or 1610 counting only the distinct ones).

The product of its digits is 2204496, while the sum is 54.

The square root of 729993924 is about 27018.3997305540. The cubic root of 729993924 is about 900.4088364749.

The spelling of 729993924 in words is "seven hundred twenty-nine million, nine hundred ninety-three thousand, nine hundred twenty-four".