730566144 has 480 divisors, whose sum is σ = 2757680640. Its totient is φ = 180633600.

The previous prime is 730566139. The next prime is 730566203. The reversal of 730566144 is 441665037.

It is a happy number.

730566144 is a `hidden beast` number, since 7 + 30 + 5 + 6 + 614 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 730566099 and 730566108.

It is a congruent number.

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, 10289629 + ... + 10289699.

It is an arithmetic number, because the mean of its divisors is an integer number (5745168).

Almost surely, 2^730566144 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 730566144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1378840320).

730566144 is an abundant number, since it is smaller than the sum of its proper divisors (2027114496).

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

730566144 is a wasteful number, since it uses less digits than its factorization.

730566144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 730566144 is about 27028.9871064382. The cubic root of 730566144 is about 900.6440427149.

The spelling of 730566144 in words is "seven hundred thirty million, five hundred sixty-six thousand, one hundred forty-four".