729088 has 28 divisors (see below), whose sum is σ = 1474470. Its totient is φ = 360448.

The previous prime is 729073. The next prime is 729139. The reversal of 729088 is 880927.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 692224 + 36864 = 832^2 + 192^2 .

It is a nialpdrome in base 16.

It is an unprimeable number.

729088 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 8148 + ... + 8236.

2⁷²⁹⁰⁸⁸ 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 729088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (737235).

729088 is an abundant number, since it is smaller than the sum of its proper divisors (745382).

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

729088 is an frugal number, since it uses more digits than its factorization.

729088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 34.

The square root of 729088 is about 853.8665001041. The cubic root of 729088 is about 90.0036212535.

The spelling of 729088 in words is "seven hundred twenty-nine thousand, eighty-eight".