74048000 has 160 divisors (see below), whose sum is σ = 201080880. Its totient is φ = 27033600.

The previous prime is 74047993. The next prime is 74048003. The reversal of 74048000 is 84047.

It can be written as a sum of positive squares in 8 ways, for example, as 2408704 + 71639296 = 1552^2 + 8464^2 .

It is a tau number, because it is divible by the number of its divisors (160).

It is not an unprimeable number, because it can be changed into a prime (74048003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 831956 + ... + 832044.

Almost surely, 2^74048000 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 74048000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100540440).

74048000 is an abundant number, since it is smaller than the sum of its proper divisors (127032880).

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

74048000 is an equidigital number, since it uses as much as digits as its factorization.

74048000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 23.

The square root of 74048000 is about 8605.1147580959. The cubic root of 74048000 is about 419.9244006032.

The spelling of 74048000 in words is "seventy-four million, forty-eight thousand".