74738916 has 144 divisors (see below), whose sum is σ = 233654400. Its totient is φ = 20575296.

The previous prime is 74738897. The next prime is 74738921. The reversal of 74738916 is 61983747.

74738916 = 16³ + 17³ + ... + 131³.

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 47 ways as a sum of consecutive naturals, for example, 153225 + ... + 153711.

It is an arithmetic number, because the mean of its divisors is an integer number (1622600).

Almost surely, 2^74738916 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 74738916, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116827200).

74738916 is an abundant number, since it is smaller than the sum of its proper divisors (158915484).

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

74738916 is a wasteful number, since it uses less digits than its factorization.

74738916 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 543 (or 528 counting only the distinct ones).

The product of its digits is 254016, while the sum is 45.

The square root of 74738916 is about 8645.1672048608. The cubic root of 74738916 is about 421.2264153367.

The spelling of 74738916 in words is "seventy-four million, seven hundred thirty-eight thousand, nine hundred sixteen".