74872 has 24 divisors (see below), whose sum is σ = 164160. Its totient is φ = 31920.

The previous prime is 74869. The next prime is 74873. The reversal of 74872 is 27847.

It is a Harshad number since it is a multiple of its sum of digits (28).

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

It is a plaindrome in base 16.

It is a self number, because there is not a number n which added to its sum of digits gives 74872.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (74873) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 297 + ... + 487.

It is an arithmetic number, because the mean of its divisors is an integer number (6840).

2⁷⁴⁸⁷² 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 74872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82080).

74872 is an abundant number, since it is smaller than the sum of its proper divisors (89288).

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

74872 is a wasteful number, since it uses less digits than its factorization.

74872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211 (or 200 counting only the distinct ones).

The product of its digits is 3136, while the sum is 28.

The square root of 74872 is about 273.6274839997. The cubic root of 74872 is about 42.1476286303.

It can be divided in two parts, 748 and 72, that added together give a triangular number (820 = T₄₀).

The spelling of 74872 in words is "seventy-four thousand, eight hundred seventy-two".