74024120 has 64 divisors (see below), whose sum is σ = 184057920. Its totient is φ = 26650624.

The previous prime is 74024101. The next prime is 74024141. The reversal of 74024120 is 2142047.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 74024092 and 74024101.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13274 + ... + 18006.

It is an arithmetic number, because the mean of its divisors is an integer number (2875905).

Almost surely, 2^74024120 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 74024120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92028960).

74024120 is an abundant number, since it is smaller than the sum of its proper divisors (110033800).

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

74024120 is a wasteful number, since it uses less digits than its factorization.

74024120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4784 (or 4780 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 20.

The square root of 74024120 is about 8603.7270993448. The cubic root of 74024120 is about 419.8792547840.

Adding to 74024120 its reverse (2142047), we get a palindrome (76166167).

The spelling of 74024120 in words is "seventy-four million, twenty-four thousand, one hundred twenty".