729262080 has 288 divisors, whose sum is σ = 2602552680. Its totient is φ = 188743680.

The previous prime is 729262021. The next prime is 729262091. The reversal of 729262080 is 80262927.

729262080 is a `hidden beast` number, since 7 + 29 + 2 + 620 + 8 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 295289856 + 433972224 = 17184^2 + 20832^2 .

It is a tau number, because it is divible by the number of its divisors (288).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3778464 + ... + 3778656.

Almost surely, 2^729262080 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 729262080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1301276340).

729262080 is an abundant number, since it is smaller than the sum of its proper divisors (1873290600).

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

729262080 is a wasteful number, since it uses less digits than its factorization.

729262080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 267 (or 244 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 729262080 is about 27004.8528972109. The cubic root of 729262080 is about 900.1078389300.

The spelling of 729262080 in words is "seven hundred twenty-nine million, two hundred sixty-two thousand, eighty".