729610560 has 168 divisors, whose sum is σ = 2868143616. Its totient is φ = 166763520.

The previous prime is 729610559. The next prime is 729610571. The reversal of 729610560 is 65016927.

729610560 is a `hidden beast` number, since 7 + 2 + 96 + 1 + 0 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (168).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2065 + ... + 38255.

Almost surely, 2^729610560 is an apocalyptic number.

729610560 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 729610560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1434071808).

729610560 is an abundant number, since it is smaller than the sum of its proper divisors (2138533056).

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

729610560 is a wasteful number, since it uses less digits than its factorization.

729610560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36221 (or 36208 counting only the distinct ones).

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

The square root of 729610560 is about 27011.3043002370. The cubic root of 729610560 is about 900.2511891461.

The spelling of 729610560 in words is "seven hundred twenty-nine million, six hundred ten thousand, five hundred sixty".