74180160 has 168 divisors, whose sum is σ = 261518400. Its totient is φ = 19289088.

The previous prime is 74180137. The next prime is 74180167. The reversal of 74180160 is 6108147.

It is a happy number.

It is a super-2 number, since 2×74180160² = 11005392275251200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (74180167) 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, 123541 + ... + 124139.

Almost surely, 2^74180160 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 74180160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130759200).

74180160 is an abundant number, since it is smaller than the sum of its proper divisors (187338240).

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

74180160 is a wasteful number, since it uses less digits than its factorization.

74180160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 665 (or 652 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 74180160 is about 8612.7904885699. The cubic root of 74180160 is about 420.1740775000.

The spelling of 74180160 in words is "seventy-four million, one hundred eighty thousand, one hundred sixty".