729201924 has 72 divisors (see below), whose sum is σ = 2014897248. Its totient is φ = 220523520.

The previous prime is 729201919. The next prime is 729201929. The reversal of 729201924 is 429102927.

It is an interprime number because it is at equal distance from previous prime (729201919) and next prime (729201929).

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

It is not an unprimeable number, because it can be changed into a prime (729201929) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 230884 + ... + 234020.

It is an arithmetic number, because the mean of its divisors is an integer number (27984684).

Almost surely, 2^729201924 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 729201924, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1007448624).

729201924 is an abundant number, since it is smaller than the sum of its proper divisors (1285695324).

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

729201924 is a wasteful number, since it uses less digits than its factorization.

729201924 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3745 (or 3740 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 729201924 is about 27003.7390744319. The cubic root of 729201924 is about 900.0830886253.

The spelling of 729201924 in words is "seven hundred twenty-nine million, two hundred one thousand, nine hundred twenty-four".