74272 has 24 divisors (see below), whose sum is σ = 160272. Its totient is φ = 33600.

The previous prime is 74257. The next prime is 74279. The reversal of 74272 is 27247.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (74279) by changing a digit.

74272 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 3 ways as a sum of consecutive naturals, for example, 247 + ... + 457.

It is an arithmetic number, because the mean of its divisors is an integer number (6678).

2⁷⁴²⁷² 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 74272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80136).

74272 is an abundant number, since it is smaller than the sum of its proper divisors (86000).

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

74272 is a wasteful number, since it uses less digits than its factorization.

74272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 232 (or 224 counting only the distinct ones).

The product of its digits is 784, while the sum is 22.

The square root of 74272 is about 272.5288975503. The cubic root of 74272 is about 42.0347407193.

The spelling of 74272 in words is "seventy-four thousand, two hundred seventy-two", and thus it is an iban number.