5730435072 has 320 divisors, whose sum is σ = 18270109440. Its totient is φ = 1783627776.

The previous prime is 5730435043. The next prime is 5730435077. The reversal of 5730435072 is 2705340375.

It is a super-2 number, since 2×5730435072² = 65675772228815290368, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5730435077) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 45121473 + ... + 45121599.

It is an arithmetic number, because the mean of its divisors is an integer number (57094092).

Almost surely, 2^5730435072 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 5730435072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9135054720).

5730435072 is an abundant number, since it is smaller than the sum of its proper divisors (12539674368).

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

5730435072 is an equidigital number, since it uses as much as digits as its factorization.

5730435072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 88200, while the sum is 36.

The square root of 5730435072 is about 75699.6371986022. The cubic root of 5730435072 is about 1789.4896823503.

The spelling of 5730435072 in words is "five billion, seven hundred thirty million, four hundred thirty-five thousand, seventy-two".