729220 has 36 divisors (see below), whose sum is σ = 1632204. Its totient is φ = 273600.

The previous prime is 729217. The next prime is 729257. The reversal of 729220 is 22927.

It can be written as a sum of positive squares in 2 ways, for example, as 521284 + 207936 = 722^2 + 456^2 .

It is a junction number, because it is equal to n+sod(n) for n = 729191 and 729200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7170 + ... + 7270.

It is an arithmetic number, because the mean of its divisors is an integer number (45339).

2⁷²⁹²²⁰ 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 729220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (816102).

729220 is an abundant number, since it is smaller than the sum of its proper divisors (902984).

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

729220 is a wasteful number, since it uses less digits than its factorization.

729220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 22.

The square root of 729220 is about 853.9437920613. The cubic root of 729220 is about 90.0090525874.

It can be divided in two parts, 729 and 220, that added together give a palindrome (949).

The spelling of 729220 in words is "seven hundred twenty-nine thousand, two hundred twenty".