74896000 has 128 divisors (see below), whose sum is σ = 193489920. Its totient is φ = 28800000.

The previous prime is 74895979. The next prime is 74896007. The reversal of 74896000 is 69847.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (74896007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 495925 + ... + 496075.

It is an arithmetic number, because the mean of its divisors is an integer number (1511640).

Almost surely, 2^74896000 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 74896000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96744960).

74896000 is an abundant number, since it is smaller than the sum of its proper divisors (118593920).

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

74896000 is a wasteful number, since it uses less digits than its factorization.

74896000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211 (or 189 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 34.

The square root of 74896000 is about 8654.2475120602. The cubic root of 74896000 is about 421.5213158215.

The spelling of 74896000 in words is "seventy-four million, eight hundred ninety-six thousand".