74132000 has 96 divisors (see below), whose sum is σ = 186810624. Its totient is φ = 28896000.

The previous prime is 74131999. The next prime is 74132017. The reversal of 74132000 is 23147.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 74132000.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 171785 + ... + 172215.

It is an arithmetic number, because the mean of its divisors is an integer number (1945944).

Almost surely, 2^74132000 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 74132000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93405312).

74132000 is an abundant number, since it is smaller than the sum of its proper divisors (112678624).

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

74132000 is a wasteful number, since it uses less digits than its factorization.

74132000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 499 (or 481 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 17.

The square root of 74132000 is about 8609.9941927971. The cubic root of 74132000 is about 420.0831279148.

Adding to 74132000 its reverse (23147), we get a palindrome (74155147).

The spelling of 74132000 in words is "seventy-four million, one hundred thirty-two thousand".