73753 has 4 divisors (see below), whose sum is σ = 74448. Its totient is φ = 73060.

The previous prime is 73751. The next prime is 73757. The reversal of 73753 is 35737.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4, and also a brilliant number, because the two primes have the same length, and also an emirpimes, since its reverse is a distinct semiprime: 35737 = 13 ⋅2749.

It is a cyclic number.

It is not a de Polignac number, because 73753 - 2¹ = 73751 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (73751) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 151 + ... + 412.

It is an arithmetic number, because the mean of its divisors is an integer number (18612).

2⁷³⁷⁵³ is an apocalyptic number.

It is an amenable number.

73753 is a deficient number, since it is larger than the sum of its proper divisors (695).

73753 is a wasteful number, since it uses less digits than its factorization.

73753 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 694.

The product of its digits is 2205, while the sum is 25.

The square root of 73753 is about 271.5750356715. The cubic root of 73753 is about 41.9366012491.

The spelling of 73753 in words is "seventy-three thousand, seven hundred fifty-three".