729747720 has 192 divisors, whose sum is σ = 2569694400. Its totient is φ = 178536960.

The previous prime is 729747713. The next prime is 729747731. The reversal of 729747720 is 27747927.

It is a happy number.

729747720 is a `hidden beast` number, since 72 + 97 + 477 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 987111 + ... + 987849.

It is an arithmetic number, because the mean of its divisors is an integer number (13383825).

Almost surely, 2^729747720 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 729747720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1284847200).

729747720 is an abundant number, since it is smaller than the sum of its proper divisors (1839946680).

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

729747720 is a wasteful number, since it uses less digits than its factorization.

729747720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 980 (or 973 counting only the distinct ones).

The product of its (nonzero) digits is 345744, while the sum is 45.

The square root of 729747720 is about 27013.8431179275. The cubic root of 729747720 is about 900.3075985619.

The spelling of 729747720 in words is "seven hundred twenty-nine million, seven hundred forty-seven thousand, seven hundred twenty".