74180 has 12 divisors (see below), whose sum is σ = 155820. Its totient is φ = 29664.

The previous prime is 74177. The next prime is 74189. The reversal of 74180 is 8147.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 23104 + 51076 = 152^2 + 226^2 .

It is a Harshad number since it is a multiple of its sum of digits (20), and also a Moran number because the ratio is a prime number: 3709 = 74180 / (7 + 4 + 1 + 8 + 0).

It is a nialpdrome in base 5.

It is not an unprimeable number, because it can be changed into a prime (74189) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1835 + ... + 1874.

It is an arithmetic number, because the mean of its divisors is an integer number (12985).

2⁷⁴¹⁸⁰ is an apocalyptic number.

It is an amenable number.

74180 is an abundant number, since it is smaller than the sum of its proper divisors (81640).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77910).

74180 is a wasteful number, since it uses less digits than its factorization.

74180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3718 (or 3716 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 20.

The square root of 74180 is about 272.3600558085. The cubic root of 74180 is about 42.0173775407.

The spelling of 74180 in words is "seventy-four thousand, one hundred eighty".