74180520 has 288 divisors, whose sum is σ = 275857920. Its totient is φ = 17233920.

The previous prime is 74180507. The next prime is 74180527. The reversal of 74180520 is 2508147.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (74180527) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2392905 + ... + 2392935.

It is an arithmetic number, because the mean of its divisors is an integer number (957840).

Almost surely, 2^74180520 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 74180520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137928960).

74180520 is an abundant number, since it is smaller than the sum of its proper divisors (201677400).

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

74180520 is a wasteful number, since it uses less digits than its factorization.

74180520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 74180520 is about 8612.8113876945. The cubic root of 74180520 is about 420.1747572074.

Adding to 74180520 its reverse (2508147), we get a palindrome (76688667).

The spelling of 74180520 in words is "seventy-four million, one hundred eighty thousand, five hundred twenty".