74648 has 32 divisors (see below), whose sum is σ = 168960. Its totient is φ = 30240.

The previous prime is 74623. The next prime is 74653. The reversal of 74648 is 84647.

It is a self number, because there is not a number n which added to its sum of digits gives 74648.

It is a congruent number.

It is an unprimeable number.

74648 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1715 + ... + 1757.

It is an arithmetic number, because the mean of its divisors is an integer number (5280).

2⁷⁴⁶⁴⁸ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 74648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84480).

74648 is an abundant number, since it is smaller than the sum of its proper divisors (94312).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

74648 is a wasteful number, since it uses less digits than its factorization.

74648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87 (or 83 counting only the distinct ones).

The product of its digits is 5376, while the sum is 29.

The square root of 74648 is about 273.2178617880. The cubic root of 74648 is about 42.1055546032.

Subtracting 74648 from its reverse (84647), we obtain a palindrome (9999).

The spelling of 74648 in words is "seventy-four thousand, six hundred forty-eight".