74124 has 36 divisors (see below), whose sum is σ = 196560. Its totient is φ = 23520.

The previous prime is 74101. The next prime is 74131. The reversal of 74124 is 42147.

It is a happy number.

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 junction number, because it is equal to n+sod(n) for n = 74097 and 74106.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1009 + ... + 1079.

It is an arithmetic number, because the mean of its divisors is an integer number (5460).

2⁷⁴¹²⁴ 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 74124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98280).

74124 is an abundant number, since it is smaller than the sum of its proper divisors (122436).

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

74124 is a wasteful number, since it uses less digits than its factorization.

74124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110 (or 105 counting only the distinct ones).

The product of its digits is 224, while the sum is 18.

The square root of 74124 is about 272.2572313089. The cubic root of 74124 is about 42.0068016196.

The spelling of 74124 in words is "seventy-four thousand, one hundred twenty-four", and thus it is an iban number.