74374144 has 88 divisors (see below), whose sum is σ = 165528608. Its totient is φ = 33177600.

The previous prime is 74374117. The next prime is 74374147. The reversal of 74374144 is 44147347.

It is a super-3 number, since 3×74374144³ (a number of 25 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (74374147) 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 7 ways as a sum of consecutive naturals, for example, 492469 + ... + 492619.

Almost surely, 2^74374144 is an apocalyptic number.

74374144 is a gapful number since it is divisible by the number (74) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 74374144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82764304).

74374144 is an abundant number, since it is smaller than the sum of its proper divisors (91154464).

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

74374144 is a wasteful number, since it uses less digits than its factorization.

74374144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221 (or 203 counting only the distinct ones).

The product of its digits is 37632, while the sum is 34.

The square root of 74374144 is about 8624.0445267867. The cubic root of 74374144 is about 420.5400158823.

The spelling of 74374144 in words is "seventy-four million, three hundred seventy-four thousand, one hundred forty-four".