74735136 has 144 divisors (see below), whose sum is σ = 252068544. Its totient is φ = 21337344.

The previous prime is 74735099. The next prime is 74735147. The reversal of 74735136 is 63153747.

74735136 is a `hidden beast` number, since 74 + 73 + 513 + 6 = 666.

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 zygodrome in base 6.

It is a self number, because there is not a number n which added to its sum of digits gives 74735136.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 53746 + ... + 55118.

It is an arithmetic number, because the mean of its divisors is an integer number (1750476).

Almost surely, 2^74735136 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 74735136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126034272).

74735136 is an abundant number, since it is smaller than the sum of its proper divisors (177333408).

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

74735136 is a wasteful number, since it uses less digits than its factorization.

74735136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1405 (or 1385 counting only the distinct ones).

The product of its digits is 52920, while the sum is 36.

The square root of 74735136 is about 8644.9485828430. The cubic root of 74735136 is about 421.2193138926.

The spelling of 74735136 in words is "seventy-four million, seven hundred thirty-five thousand, one hundred thirty-six".