90729 has 12 divisors (see below), whose sum is σ = 138996. Its totient is φ = 56832.

The previous prime is 90709. The next prime is 90731. The reversal of 90729 is 92709.

It can be written as a sum of positive squares in 2 ways, for example, as 63504 + 27225 = 252^2 + 165^2 .

It is not a de Polignac number, because 90729 - 2⁵ = 90697 is a prime.

It is an Ulam number.

It is an alternating number because its digits alternate between odd and even.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (90709) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 144 + ... + 449.

It is an arithmetic number, because the mean of its divisors is an integer number (11583).

2⁹⁰⁷²⁹ is an apocalyptic number.

It is an amenable number.

90729 is a deficient number, since it is larger than the sum of its proper divisors (48267).

90729 is a wasteful number, since it uses less digits than its factorization.

90729 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 616 (or 613 counting only the distinct ones).

The product of its (nonzero) digits is 1134, while the sum is 27.

The square root of 90729 is about 301.2125495394. The cubic root of 90729 is about 44.9347201616.

The spelling of 90729 in words is "ninety thousand, seven hundred twenty-nine".