74031120 has 120 divisors (see below), whose sum is σ = 250263000. Its totient is φ = 19611648.

The previous prime is 74031091. The next prime is 74031121. The reversal of 74031120 is 2113047.

It can be written as a sum of positive squares in 4 ways, for example, as 26255376 + 47775744 = 5124^2 + 6912^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 74031093 and 74031102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (74031121) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 164656 + ... + 165104.

It is an arithmetic number, because the mean of its divisors is an integer number (2085525).

Almost surely, 2^74031120 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 74031120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125131500).

74031120 is an abundant number, since it is smaller than the sum of its proper divisors (176231880).

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

74031120 is a wasteful number, since it uses less digits than its factorization.

74031120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 697 (or 688 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 74031120 is about 8604.1338901716. The cubic root of 74031120 is about 419.8924894889.

Adding to 74031120 its reverse (2113047), we get a palindrome (76144167).

The spelling of 74031120 in words is "seventy-four million, thirty-one thousand, one hundred twenty".