45729 has 6 divisors (see below), whose sum is σ = 66066. Its totient is φ = 30480.

The previous prime is 45707. The next prime is 45737. The reversal of 45729 is 92754.

It can be written as a sum of positive squares in only one way, i.e., 31329 + 14400 = 177^2 + 120^2 .

It is not a de Polignac number, because 45729 - 2⁵ = 45697 is a prime.

It is a super-2 number, since 2×45729² = 4182282882, which contains 22 as substring.

It is a Curzon number.

It is a plaindrome in base 12.

It is not an unprimeable number, because it can be changed into a prime (45779) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2532 + ... + 2549.

It is an arithmetic number, because the mean of its divisors is an integer number (11011).

2⁴⁵⁷²⁹ is an apocalyptic number.

It is an amenable number.

45729 is a deficient number, since it is larger than the sum of its proper divisors (20337).

45729 is a wasteful number, since it uses less digits than its factorization.

45729 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5087 (or 5084 counting only the distinct ones).

The product of its digits is 2520, while the sum is 27.

The square root of 45729 is about 213.8434006464. The cubic root of 45729 is about 35.7599773283.

The spelling of 45729 in words is "forty-five thousand, seven hundred twenty-nine".