74749824 has 128 divisors (see below), whose sum is σ = 226195200. Its totient is φ = 24288768.

The previous prime is 74749817. The next prime is 74749837. The reversal of 74749824 is 42894747.

It is a tau number, because it is divible by the number of its divisors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 74749824.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 148357 + ... + 148859.

It is an arithmetic number, because the mean of its divisors is an integer number (1767150).

Almost surely, 2^74749824 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 74749824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113097600).

74749824 is an abundant number, since it is smaller than the sum of its proper divisors (151445376).

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

74749824 is a wasteful number, since it uses less digits than its factorization.

74749824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 569 (or 551 counting only the distinct ones).

The product of its digits is 451584, while the sum is 45.

The square root of 74749824 is about 8645.7980545465. The cubic root of 74749824 is about 421.2469067329.

The spelling of 74749824 in words is "seventy-four million, seven hundred forty-nine thousand, eight hundred twenty-four".