729710520 has 256 divisors, whose sum is σ = 2752634880. Its totient is φ = 150336000.

The previous prime is 729710507. The next prime is 729710537. The reversal of 729710520 is 25017927.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1394979 + ... + 1395501.

It is an arithmetic number, because the mean of its divisors is an integer number (10752480).

Almost surely, 2^729710520 is an apocalyptic number.

729710520 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 729710520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1376317440).

729710520 is an abundant number, since it is smaller than the sum of its proper divisors (2022924360).

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

729710520 is a wasteful number, since it uses less digits than its factorization.

729710520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 706 (or 702 counting only the distinct ones).

The product of its (nonzero) digits is 8820, while the sum is 33.

The square root of 729710520 is about 27013.1545732815. The cubic root of 729710520 is about 900.2923001188.

The spelling of 729710520 in words is "seven hundred twenty-nine million, seven hundred ten thousand, five hundred twenty".