729792 has 84 divisors (see below), whose sum is σ = 2403856. Its totient is φ = 207360.

The previous prime is 729791. The next prime is 729821. The reversal of 729792 is 297927.

It is a tau number, because it is divible by the number of its divisors (84).

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

It is a nude number because it is divisible by every one of its digits.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 729792.

It is not an unprimeable number, because it can be changed into a prime (729791) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3942 + ... + 4122.

2⁷²⁹⁷⁹² is an apocalyptic number.

729792 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 729792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1201928).

729792 is an abundant number, since it is smaller than the sum of its proper divisors (1674064).

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

729792 is a wasteful number, since it uses less digits than its factorization.

729792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206 (or 193 counting only the distinct ones).

The product of its digits is 15876, while the sum is 36.

The square root of 729792 is about 854.2786430668. The cubic root of 729792 is about 90.0325807966.

It can be divided in two parts, 729 and 792, that added together give a square (1521 = 39²).

The spelling of 729792 in words is "seven hundred twenty-nine thousand, seven hundred ninety-two".