730052352 has 360 divisors, whose sum is σ = 2448507600. Its totient is φ = 214990848.

The previous prime is 730052339. The next prime is 730052359. The reversal of 730052352 is 253250037.

730052352 is a `hidden beast` number, since 7 + 300 + 5 + 2 + 352 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (730052359) 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 39 ways as a sum of consecutive naturals, for example, 6697674 + ... + 6697782.

It is an arithmetic number, because the mean of its divisors is an integer number (6801410).

Almost surely, 2^730052352 is an apocalyptic number.

730052352 is a gapful number since it is divisible by the number (72) 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 730052352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1224253800).

730052352 is an abundant number, since it is smaller than the sum of its proper divisors (1718455248).

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

730052352 is a wasteful number, since it uses less digits than its factorization.

730052352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 6300, while the sum is 27.

The square root of 730052352 is about 27019.4809720690. The cubic root of 730052352 is about 900.4328584484.

It can be divided in two parts, 73005 and 2352, that added together give a palindrome (75357).

The spelling of 730052352 in words is "seven hundred thirty million, fifty-two thousand, three hundred fifty-two".