74354144 has 48 divisors (see below), whose sum is σ = 159440400. Its totient is φ = 33997824.

The previous prime is 74354143. The next prime is 74354149. The reversal of 74354144 is 44145347.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 74354144.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (74354143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15524 + ... + 19740.

It is an arithmetic number, because the mean of its divisors is an integer number (3321675).

Almost surely, 2^74354144 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 74354144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79720200).

74354144 is an abundant number, since it is smaller than the sum of its proper divisors (85086256).

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

74354144 is a wasteful number, since it uses less digits than its factorization.

74354144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4275 (or 4267 counting only the distinct ones).

The product of its digits is 26880, while the sum is 32.

The square root of 74354144 is about 8622.8849000784. The cubic root of 74354144 is about 420.5023166054.

The spelling of 74354144 in words is "seventy-four million, three hundred fifty-four thousand, one hundred forty-four".