74736 has 40 divisors (see below), whose sum is σ = 215760. Its totient is φ = 24768.

The previous prime is 74731. The next prime is 74747. The reversal of 74736 is 63747.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (74731) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 346 + ... + 518.

It is an arithmetic number, because the mean of its divisors is an integer number (5394).

2⁷⁴⁷³⁶ 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 74736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107880).

74736 is an abundant number, since it is smaller than the sum of its proper divisors (141024).

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

74736 is a wasteful number, since it uses less digits than its factorization.

74736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190 (or 178 counting only the distinct ones).

The product of its digits is 3528, while the sum is 27.

The square root of 74736 is about 273.3788579975. The cubic root of 74736 is about 42.1220937101.

The spelling of 74736 in words is "seventy-four thousand, seven hundred thirty-six".