730293120 has 192 divisors, whose sum is σ = 2654917200. Its totient is φ = 184467456.

The previous prime is 730293119. The next prime is 730293127. The reversal of 730293120 is 21392037.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×730293120² = 1066656082238668800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (730293127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 106104 + ... + 112776.

Almost surely, 2^730293120 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 730293120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1327458600).

730293120 is an abundant number, since it is smaller than the sum of its proper divisors (1924624080).

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

730293120 is a wasteful number, since it uses less digits than its factorization.

730293120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6717 (or 6702 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 27.

The square root of 730293120 is about 27023.9360567627. The cubic root of 730293120 is about 900.5318338116.

The spelling of 730293120 in words is "seven hundred thirty million, two hundred ninety-three thousand, one hundred twenty".