74988 has 18 divisors (see below), whose sum is σ = 189644. Its totient is φ = 24984.

The previous prime is 74959. The next prime is 75011. The reversal of 74988 is 88947.

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 2083 = 74988 / (7 + 4 + 9 + 8 + 8).

It is an unprimeable number.

74988 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, 1006 + ... + 1077.

2⁷⁴⁹⁸⁸ is an apocalyptic number.

It is an amenable number.

74988 is an abundant number, since it is smaller than the sum of its proper divisors (114656).

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

74988 is a wasteful number, since it uses less digits than its factorization.

74988 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2093 (or 2088 counting only the distinct ones).

The product of its digits is 16128, while the sum is 36.

The square root of 74988 is about 273.8393689739. The cubic root of 74988 is about 42.1693839913.

The spelling of 74988 in words is "seventy-four thousand, nine hundred eighty-eight".