74448000 has 384 divisors, whose sum is σ = 297872640. Its totient is φ = 17664000.

The previous prime is 74447969. The next prime is 74448041. The reversal of 74448000 is 84447.

It is a tau number, because it is divible by the number of its divisors (384).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1583977 + ... + 1584023.

It is an arithmetic number, because the mean of its divisors is an integer number (775710).

Almost surely, 2^74448000 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 74448000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148936320).

74448000 is an abundant number, since it is smaller than the sum of its proper divisors (223424640).

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

74448000 is a wasteful number, since it uses less digits than its factorization.

74448000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93 (or 68 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 27.

The square root of 74448000 is about 8628.3254458788. The cubic root of 74448000 is about 420.6791732400.

The spelling of 74448000 in words is "seventy-four million, four hundred forty-eight thousand".