74676 has 36 divisors (see below), whose sum is σ = 204288. Its totient is φ = 21168.

The previous prime is 74653. The next prime is 74687. The reversal of 74676 is 67647.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

74676 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 11 ways as a sum of consecutive naturals, for example, 525 + ... + 651.

2⁷⁴⁶⁷⁶ 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 74676, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102144).

74676 is an abundant number, since it is smaller than the sum of its proper divisors (129612).

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

74676 is a wasteful number, since it uses less digits than its factorization.

74676 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148 (or 139 counting only the distinct ones).

The product of its digits is 7056, while the sum is 30.

The square root of 74676 is about 273.2690981432. The cubic root of 74676 is about 42.1108184556.

The spelling of 74676 in words is "seventy-four thousand, six hundred seventy-six".