74624 has 32 divisors (see below), whose sum is σ = 165240. Its totient is φ = 33280.

The previous prime is 74623. The next prime is 74653. The reversal of 74624 is 42647.

It is a tau number, because it is divible by the number of its divisors (32).

It is a self number, because there is not a number n which added to its sum of digits gives 74624.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (74623) 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, 1382 + ... + 1434.

2⁷⁴⁶²⁴ 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 74624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82620).

74624 is an abundant number, since it is smaller than the sum of its proper divisors (90616).

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

74624 is a wasteful number, since it uses less digits than its factorization.

74624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78 (or 66 counting only the distinct ones).

The product of its digits is 1344, while the sum is 23.

The square root of 74624 is about 273.1739372634. The cubic root of 74624 is about 42.1010416820.

Adding to 74624 its sum of digits (23), we get a palindrome (74647).

The spelling of 74624 in words is "seventy-four thousand, six hundred twenty-four".