730443168 has 288 divisors, whose sum is σ = 2615348736. Its totient is φ = 188227584.

The previous prime is 730443151. The next prime is 730443209. The reversal of 730443168 is 861344037.

It is a tau number, because it is divible by the number of its divisors (288).

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 47 ways as a sum of consecutive naturals, for example, 1231480 + ... + 1232072.

It is an arithmetic number, because the mean of its divisors is an integer number (9081072).

Almost surely, 2^730443168 is an apocalyptic number.

730443168 is a gapful number since it is divisible by the number (78) 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 730443168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1307674368).

730443168 is an abundant number, since it is smaller than the sum of its proper divisors (1884905568).

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

730443168 is a wasteful number, since it uses less digits than its factorization.

730443168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 676 (or 665 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 730443168 is about 27026.7121196789. The cubic root of 730443168 is about 900.5935048236.

The spelling of 730443168 in words is "seven hundred thirty million, four hundred forty-three thousand, one hundred sixty-eight".