74166080 has 56 divisors (see below), whose sum is σ = 179981352. Its totient is φ = 29100032.

The previous prime is 74166067. The next prime is 74166083. The reversal of 74166080 is 8066147.

It can be written as a sum of positive squares in 4 ways, for example, as 15429184 + 58736896 = 3928^2 + 7664^2 .

It is a hoax number, since the sum of its digits (32) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (74166083) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14774 + ... + 19146.

Almost surely, 2^74166080 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 74166080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89990676).

74166080 is an abundant number, since it is smaller than the sum of its proper divisors (105815272).

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

74166080 is a wasteful number, since it uses less digits than its factorization.

74166080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4443 (or 4433 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 32.

The square root of 74166080 is about 8611.9730608032. The cubic root of 74166080 is about 420.1474916610.

The spelling of 74166080 in words is "seventy-four million, one hundred sixty-six thousand, eighty".