74642560 has 64 divisors (see below), whose sum is σ = 179585280. Its totient is φ = 29666304.

The previous prime is 74642543. The next prime is 74642587. The reversal of 74642560 is 6524647.

It is a tau number, because it is divible by the number of its divisors (64).

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 7 ways as a sum of consecutive naturals, for example, 142459 + ... + 142981.

It is an arithmetic number, because the mean of its divisors is an integer number (2806020).

Almost surely, 2^74642560 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 74642560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89792640).

74642560 is an abundant number, since it is smaller than the sum of its proper divisors (104942720).

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

74642560 is a wasteful number, since it uses less digits than its factorization.

74642560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 765 (or 753 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 34.

The square root of 74642560 is about 8639.5925829868. The cubic root of 74642560 is about 421.0453175922.

The spelling of 74642560 in words is "seventy-four million, six hundred forty-two thousand, five hundred sixty".