730065728 has 112 divisors (see below), whose sum is σ = 1755648000. Its totient is φ = 294243840.

The previous prime is 730065703. The next prime is 730065737. The reversal of 730065728 is 827560037.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a junction number, because it is equal to n+sod(n) for n = 730065691 and 730065700.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1693673 + ... + 1694103.

Almost surely, 2^730065728 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 730065728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (877824000).

730065728 is an abundant number, since it is smaller than the sum of its proper divisors (1025582272).

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

730065728 is a wasteful number, since it uses less digits than its factorization.

730065728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 668 (or 658 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 38.

The square root of 730065728 is about 27019.7284960453. The cubic root of 730065728 is about 900.4383576505.

The spelling of 730065728 in words is "seven hundred thirty million, sixty-five thousand, seven hundred twenty-eight".