73769 has 4 divisors (see below), whose sum is σ = 74880. Its totient is φ = 72660.

The previous prime is 73757. The next prime is 73771. The reversal of 73769 is 96737.

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.

It is a cyclic number.

It is not a de Polignac number, because 73769 - 2¹⁶ = 8233 is a prime.

It is a super-2 number, since 2×73769² = 10883730722, which contains 22 as substring.

It is a Duffinian number.

It is a plaindrome in base 15.

It is not an unprimeable number, because it can be changed into a prime (73709) 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, 449 + ... + 590.

It is an arithmetic number, because the mean of its divisors is an integer number (18720).

2⁷³⁷⁶⁹ is an apocalyptic number.

It is an amenable number.

73769 is a deficient number, since it is larger than the sum of its proper divisors (1111).

73769 is a wasteful number, since it uses less digits than its factorization.

73769 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1110.

The product of its digits is 7938, while the sum is 32.

The square root of 73769 is about 271.6044918627. The cubic root of 73769 is about 41.9396336098.

Subtracting from 73769 its sum of digits (32), we obtain a palindrome (73737).

The spelling of 73769 in words is "seventy-three thousand, seven hundred sixty-nine".