73648 has 10 divisors (see below), whose sum is σ = 142724. Its totient is φ = 36816.

The previous prime is 73643. The next prime is 73651. The reversal of 73648 is 84637.

It is not an unprimeable number, because it can be changed into a prime (73643) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2286 + ... + 2317.

2⁷³⁶⁴⁸ is an apocalyptic number.

It is an amenable number.

73648 is a deficient number, since it is larger than the sum of its proper divisors (69076).

73648 is a wasteful number, since it uses less digits than its factorization.

73648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4611 (or 4605 counting only the distinct ones).

The product of its digits is 4032, while the sum is 28.

The square root of 73648 is about 271.3816500797. The cubic root of 73648 is about 41.9166904910.

It can be divided in two parts, 736 and 48, that added together give a square (784 = 28²).

The spelling of 73648 in words is "seventy-three thousand, six hundred forty-eight".