729972 has 36 divisors (see below), whose sum is σ = 1916096. Its totient is φ = 243000.

The previous prime is 729947. The next prime is 729977. The reversal of 729972 is 279927.

729972 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (36).

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

Its product of digits (15876) is a multiple of the sum of its prime divisors (756).

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 729972.

It is not an unprimeable number, because it can be changed into a prime (729977) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 597 + ... + 1347.

2⁷²⁹⁹⁷² 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 729972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (958048).

729972 is an abundant number, since it is smaller than the sum of its proper divisors (1186124).

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

729972 is a wasteful number, since it uses less digits than its factorization.

729972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 770 (or 756 counting only the distinct ones).

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

The square root of 729972 is about 854.3839886140. The cubic root of 729972 is about 90.0399822354.

The spelling of 729972 in words is "seven hundred twenty-nine thousand, nine hundred seventy-two".