74240 has 40 divisors (see below), whose sum is σ = 184140. Its totient is φ = 28672.

The previous prime is 74231. The next prime is 74257. The reversal of 74240 is 4247.

It can be written as a sum of positive squares in 2 ways, for example, as 73984 + 256 = 272^2 + 16^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a nialpdrome in base 8.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (3) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2546 + ... + 2574.

2⁷⁴²⁴⁰ 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 74240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92070).

74240 is an abundant number, since it is smaller than the sum of its proper divisors (109900).

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

74240 is an equidigital number, since it uses as much as digits as its factorization.

74240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 17.

The square root of 74240 is about 272.4701818548. The cubic root of 74240 is about 42.0287029799.

Adding to 74240 its reverse (4247), we get a palindrome (78487).

The spelling of 74240 in words is "seventy-four thousand, two hundred forty", and thus it is an iban number.