73964

73964 is a natural number that follows 73963 and precedes 73965. It is even and is therefore divisible by 2.

Prime factorization: 73964 = 2^2 × 11 × 41^2. This factorization shows that the number has 18 positive divisors. The full set of divisors is: 1, 2, 4, 11, 22, 44, 41, 82, 164, 451, 902, 1804, 1681, 3362, 6724, 18491, 36982, and 73964.

Sum of divisors: the sum of all positive divisors is 144,732. The sum of proper divisors (excluding the number itself) is 70,768, which makes 73964 a deficient number, as the sum of its proper divisors is less than the number.

Other properties: 73964 is congruent to 2 modulo 3 and to 4 modulo 5. Its decimal representation (7-3-9-6-4) is not a palindrome.

In general usage, 73964 may appear as a numeric identifier in scientific or cataloging contexts, or as a placeholder in examples and exercises. In mathematics, it serves as an example of an even composite number with a mixed prime factorization.