729630720 has 768 divisors, whose sum is σ = 3302208000. Its totient is φ = 148635648.

The previous prime is 729630709. The next prime is 729630743. The reversal of 729630720 is 27036927.

It is a tau number, because it is divible by the number of its divisors (768).

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 63 ways as a sum of consecutive naturals, for example, 25159666 + ... + 25159694.

It is an arithmetic number, because the mean of its divisors is an integer number (4299750).

Almost surely, 2^729630720 is an apocalyptic number.

729630720 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 729630720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1651104000).

729630720 is an abundant number, since it is smaller than the sum of its proper divisors (2572577280).

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

729630720 is a wasteful number, since it uses less digits than its factorization.

729630720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 31752, while the sum is 36.

The square root of 729630720 is about 27011.6774747515. The cubic root of 729630720 is about 900.2594807370.

The spelling of 729630720 in words is "seven hundred twenty-nine million, six hundred thirty thousand, seven hundred twenty".