74016 has 36 divisors (see below), whose sum is σ = 211302. Its totient is φ = 24576.

The previous prime is 73999. The next prime is 74017. The reversal of 74016 is 61047.

It can be written as a sum of positive squares in only one way, i.e., 41616 + 32400 = 204^2 + 180^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a self number, because there is not a number n which added to its sum of digits gives 74016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (74017) by changing a digit.

74016 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 160 + ... + 416.

2⁷⁴⁰¹⁶ 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 74016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105651).

74016 is an abundant number, since it is smaller than the sum of its proper divisors (137286).

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

74016 is a wasteful number, since it uses less digits than its factorization.

74016 is an evil number, because the sum of its binary digits is even.

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

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 74016 is about 272.0588171701. The cubic root of 74016 is about 41.9863901481.

The spelling of 74016 in words is "seventy-four thousand, sixteen".