74816 has 28 divisors (see below), whose sum is σ = 170688. Its totient is φ = 31872.

The previous prime is 74797. The next prime is 74821. The reversal of 74816 is 61847.

It is a tau number, because it is divible by the number of its divisors (28).

It is a plaindrome in base 9.

It is a nialpdrome in base 8.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 365 + ... + 531.

It is an arithmetic number, because the mean of its divisors is an integer number (6096).

2⁷⁴⁸¹⁶ 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 74816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85344).

74816 is an abundant number, since it is smaller than the sum of its proper divisors (95872).

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

74816 is a wasteful number, since it uses less digits than its factorization.

74816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186 (or 176 counting only the distinct ones).

The product of its digits is 1344, while the sum is 26.

The square root of 74816 is about 273.5251359565. The cubic root of 74816 is about 42.1371179993.

The spelling of 74816 in words is "seventy-four thousand, eight hundred sixteen".