74129888 has 48 divisors (see below), whose sum is σ = 167731200. Its totient is φ = 31591296.

The previous prime is 74129863. The next prime is 74129917. The reversal of 74129888 is 88892147.

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 7 ways as a sum of consecutive naturals, for example, 43745 + ... + 45407.

It is an arithmetic number, because the mean of its divisors is an integer number (3494400).

Almost surely, 2^74129888 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 74129888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83865600).

74129888 is an abundant number, since it is smaller than the sum of its proper divisors (93601312).

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

74129888 is a wasteful number, since it uses less digits than its factorization.

74129888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1879 (or 1871 counting only the distinct ones).

The product of its digits is 258048, while the sum is 47.

The square root of 74129888 is about 8609.8715437572. The cubic root of 74129888 is about 420.0791385265.

The spelling of 74129888 in words is "seventy-four million, one hundred twenty-nine thousand, eight hundred eighty-eight".