74117120 has 208 divisors, whose sum is σ = 226464768. Its totient is φ = 22609920.

The previous prime is 74117117. The next prime is 74117129. The reversal of 74117120 is 2171147.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (74117129) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1576937 + ... + 1576983.

Almost surely, 2^74117120 is an apocalyptic number.

74117120 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 74117120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113232384).

74117120 is an abundant number, since it is smaller than the sum of its proper divisors (152347648).

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

74117120 is a wasteful number, since it uses less digits than its factorization.

74117120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 392, while the sum is 23.

The square root of 74117120 is about 8609.1300373499. The cubic root of 74117120 is about 420.0550192473.

Adding to 74117120 its reverse (2171147), we get a palindrome (76288267).

The spelling of 74117120 in words is "seventy-four million, one hundred seventeen thousand, one hundred twenty".