74528 has 24 divisors (see below), whose sum is σ = 156492. Its totient is φ = 34816.

The previous prime is 74527. The next prime is 74531. The reversal of 74528 is 82547.

It is a Cunningham number, because it is equal to 273²-1.

It can be written as a sum of positive squares in 2 ways, for example, as 71824 + 2704 = 268^2 + 52^2 .

It is a plaindrome in base 13.

It is a junction number, because it is equal to n+sod(n) for n = 74497 and 74506.

It is not an unprimeable number, because it can be changed into a prime (74521) 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, 476 + ... + 612.

2⁷⁴⁵²⁸ 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 74528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78246).

74528 is an abundant number, since it is smaller than the sum of its proper divisors (81964).

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

74528 is a wasteful number, since it uses less digits than its factorization.

74528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164 (or 156 counting only the distinct ones).

The product of its digits is 2240, while the sum is 26.

The square root of 74528 is about 272.9981684920. The cubic root of 74528 is about 42.0829803149.

The spelling of 74528 in words is "seventy-four thousand, five hundred twenty-eight".