74181000 has 128 divisors (see below), whose sum is σ = 235123200. Its totient is φ = 19468800.

The previous prime is 74180999. The next prime is 74181011. The reversal of 74181000 is 18147.

It is a super-2 number, since 2×74181000² = 11005641522000000, which contains 22 as substring.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 236844 + ... + 237156.

It is an arithmetic number, because the mean of its divisors is an integer number (1836900).

Almost surely, 2^74181000 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 74181000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117561600).

74181000 is an abundant number, since it is smaller than the sum of its proper divisors (160942200).

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

74181000 is a wasteful number, since it uses less digits than its factorization.

74181000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 416 (or 402 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 21.

The square root of 74181000 is about 8612.8392531151. The cubic root of 74181000 is about 420.1756634806.

Adding to 74181000 its reverse (18147), we get a palindrome (74199147).

The spelling of 74181000 in words is "seventy-four million, one hundred eighty-one thousand".