729121000 has 64 divisors (see below), whose sum is σ = 1738460880. Its totient is φ = 286124800.

The previous prime is 729120971. The next prime is 729121021. The reversal of 729121000 is 121927.

It can be written as a sum of positive squares in 8 ways, for example, as 12996 + 729108004 = 114^2 + 27002^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 46122 + ... + 59878.

Almost surely, 2^729121000 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 729121000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (869230440).

729121000 is an abundant number, since it is smaller than the sum of its proper divisors (1009339880).

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

729121000 is a wasteful number, since it uses less digits than its factorization.

729121000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13831 (or 13817 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 22.

The square root of 729121000 is about 27002.2406477685. The cubic root of 729121000 is about 900.0497914840.

Adding to 729121000 its reverse (121927), we get a palindrome (729242927).

The spelling of 729121000 in words is "seven hundred twenty-nine million, one hundred twenty-one thousand".