74166120 has 192 divisors, whose sum is σ = 290160000. Its totient is φ = 16049664.

The previous prime is 74166083. The next prime is 74166143. The reversal of 74166120 is 2166147.

74166120 is a `hidden beast` number, since 7 + 41 + 6 + 612 + 0 = 666.

It is a super-2 number, since 2×74166120² = 11001226711708800, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 47106 + ... + 48654.

It is an arithmetic number, because the mean of its divisors is an integer number (1511250).

Almost surely, 2^74166120 is an apocalyptic number.

74166120 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 74166120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145080000).

74166120 is an abundant number, since it is smaller than the sum of its proper divisors (215993880).

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

74166120 is a wasteful number, since it uses less digits than its factorization.

74166120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1592 (or 1585 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 74166120 is about 8611.9753831511. The cubic root of 74166120 is about 420.1475671937.

Adding to 74166120 its sum of digits (27), we get a palindrome (74166147).

The spelling of 74166120 in words is "seventy-four million, one hundred sixty-six thousand, one hundred twenty".