74115936 has 144 divisors (see below), whose sum is σ = 224550144. Its totient is φ = 23139072.

The previous prime is 74115917. The next prime is 74115989. The reversal of 74115936 is 63951147.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 74115936.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 443725 + ... + 443891.

It is an arithmetic number, because the mean of its divisors is an integer number (1559376).

Almost surely, 2^74115936 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 74115936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112275072).

74115936 is an abundant number, since it is smaller than the sum of its proper divisors (150434208).

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

74115936 is a wasteful number, since it uses less digits than its factorization.

74115936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 273 (or 262 counting only the distinct ones).

The product of its digits is 22680, while the sum is 36.

The square root of 74115936 is about 8609.0612728683. The cubic root of 74115936 is about 420.0527824821.

The spelling of 74115936 in words is "seventy-four million, one hundred fifteen thousand, nine hundred thirty-six".