74528640 has 256 divisors, whose sum is σ = 279072000. Its totient is φ = 18745344.

The previous prime is 74528639. The next prime is 74528669. The reversal of 74528640 is 4682547.

74528640 is a `hidden beast` number, since 7 + 4 + 5 + 2 + 8 + 640 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 74528595 and 74528604.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 328207 + ... + 328433.

It is an arithmetic number, because the mean of its divisors is an integer number (1090125).

Almost surely, 2^74528640 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 74528640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139536000).

74528640 is an abundant number, since it is smaller than the sum of its proper divisors (204543360).

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

74528640 is a wasteful number, since it uses less digits than its factorization.

74528640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 274 (or 256 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 74528640 is about 8632.9971620521. The cubic root of 74528640 is about 420.8310077533.

The spelling of 74528640 in words is "seventy-four million, five hundred twenty-eight thousand, six hundred forty".