73729 has 4 divisors (see below), whose sum is σ = 78084. Its totient is φ = 69376.

The previous prime is 73727. The next prime is 73751. The reversal of 73729 is 92737.

It is a happy number.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 23104 + 50625 = 152^2 + 225^2 .

It is a cyclic number.

It is not a de Polignac number, because 73729 - 2¹ = 73727 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 73697 and 73706.

It is not an unprimeable number, because it can be changed into a prime (73721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (3) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2152 + ... + 2185.

It is an arithmetic number, because the mean of its divisors is an integer number (19521).

It is a Proth number, since it is equal to 9 ⋅ 2¹³ + 1 and 9 < 2¹³.

2⁷³⁷²⁹ is an apocalyptic number.

It is an amenable number.

73729 is a deficient number, since it is larger than the sum of its proper divisors (4355).

73729 is a wasteful number, since it uses less digits than its factorization.

73729 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4354.

The product of its digits is 2646, while the sum is 28.

The square root of 73729 is about 271.5308453933. The cubic root of 73729 is about 41.9320518856.

It can be divided in two parts, 7372 and 9, that added together give a triangular number (7381 = T₁₂₁).

The spelling of 73729 in words is "seventy-three thousand, seven hundred twenty-nine".