729106560 has 576 divisors, whose sum is σ = 3144847680. Its totient is φ = 152395776.

The previous prime is 729106549. The next prime is 729106579. The reversal of 729106560 is 65601927.

729106560 is a `hidden beast` number, since 7 + 2 + 91 + 0 + 6 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 6814027 + ... + 6814133.

It is an arithmetic number, because the mean of its divisors is an integer number (5459805).

Almost surely, 2^729106560 is an apocalyptic number.

729106560 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 729106560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1572423840).

729106560 is an abundant number, since it is smaller than the sum of its proper divisors (2415741120).

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

729106560 is a wasteful number, since it uses less digits than its factorization.

729106560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The square root of 729106560 is about 27001.9732612267. The cubic root of 729106560 is about 900.0438497154.

The spelling of 729106560 in words is "seven hundred twenty-nine million, one hundred six thousand, five hundred sixty".