74406128 has 40 divisors (see below), whose sum is σ = 152430720. Its totient is φ = 35087040.

The previous prime is 74406121. The next prime is 74406131. The reversal of 74406128 is 82160447.

It is a junction number, because it is equal to n+sod(n) for n = 74406094 and 74406103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (74406121) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 94151 + ... + 94937.

It is an arithmetic number, because the mean of its divisors is an integer number (3810768).

Almost surely, 2^74406128 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 74406128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76215360).

74406128 is an abundant number, since it is smaller than the sum of its proper divisors (78024592).

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

74406128 is a wasteful number, since it uses less digits than its factorization.

74406128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1125 (or 1119 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 32.

The square root of 74406128 is about 8625.8986778190. The cubic root of 74406128 is about 420.6002905221.

The spelling of 74406128 in words is "seventy-four million, four hundred six thousand, one hundred twenty-eight".