74282120 has 64 divisors (see below), whose sum is σ = 184723200. Its totient is φ = 26657280.

The previous prime is 74282093. The next prime is 74282141. The reversal of 74282120 is 2128247.

It is a self number, because there is not a number n which added to its sum of digits gives 74282120.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33692 + ... + 35828.

It is an arithmetic number, because the mean of its divisors is an integer number (2886300).

Almost surely, 2^74282120 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 74282120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92361600).

74282120 is an abundant number, since it is smaller than the sum of its proper divisors (110441080).

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

74282120 is a wasteful number, since it uses less digits than its factorization.

74282120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2238 (or 2234 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 26.

The square root of 74282120 is about 8618.7075597215. The cubic root of 74282120 is about 420.3664979339.

The spelling of 74282120 in words is "seventy-four million, two hundred eighty-two thousand, one hundred twenty".