74567040 has 128 divisors (see below), whose sum is σ = 241470720. Its totient is φ = 19568640.

The previous prime is 74567023. The next prime is 74567041. The reversal of 74567040 is 4076547.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 74566992 and 74567010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (74567041) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 136047 + ... + 136593.

It is an arithmetic number, because the mean of its divisors is an integer number (1886490).

Almost surely, 2^74567040 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 74567040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120735360).

74567040 is an abundant number, since it is smaller than the sum of its proper divisors (166903680).

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

74567040 is a wasteful number, since it uses less digits than its factorization.

74567040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 640 (or 628 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 33.

The square root of 74567040 is about 8635.2209004750. The cubic root of 74567040 is about 420.9032714096.

The spelling of 74567040 in words is "seventy-four million, five hundred sixty-seven thousand, forty".