5760729 has 24 divisors (see below), whose sum is σ = 9140040. Its totient is φ = 3474432.

The previous prime is 5760719. The next prime is 5760749. The reversal of 5760729 is 9270675.

It can be written as a sum of positive squares in 4 ways, for example, as 729 + 5760000 = 27^2 + 2400^2 .

It is not a de Polignac number, because 5760729 - 2⁹ = 5760217 is a prime.

It is a super-2 number, since 2×5760729² = 66371997222882, which contains 22 as substring.

5760729 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 5760693 and 5760702.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5760719) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5737 + ... + 6665.

It is an arithmetic number, because the mean of its divisors is an integer number (380835).

Almost surely, 2^5760729 is an apocalyptic number.

It is an amenable number.

5760729 is a deficient number, since it is larger than the sum of its proper divisors (3379311).

5760729 is a wasteful number, since it uses less digits than its factorization.

5760729 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1001 (or 998 counting only the distinct ones).

The product of its (nonzero) digits is 26460, while the sum is 36.

The square root of 5760729 is about 2400.1518701949. The cubic root of 5760729 is about 179.2637519138.

It can be divided in two parts, 576072 and 9, that added together give a square (576081 = 759²).

The spelling of 5760729 in words is "five million, seven hundred sixty thousand, seven hundred twenty-nine".