729520 has 40 divisors (see below), whose sum is σ = 1852560. Its totient is φ = 264960.

The previous prime is 729511. The next prime is 729527. The reversal of 729520 is 25927.

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (729527) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 466 + ... + 1294.

It is an arithmetic number, because the mean of its divisors is an integer number (46314).

2⁷²⁹⁵²⁰ 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 729520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (926280).

729520 is an abundant number, since it is smaller than the sum of its proper divisors (1123040).

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

729520 is a wasteful number, since it uses less digits than its factorization.

729520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 853 (or 847 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 25.

The square root of 729520 is about 854.1194295882. The cubic root of 729520 is about 90.0213940909.

The spelling of 729520 in words is "seven hundred twenty-nine thousand, five hundred twenty".