74848000 has 72 divisors (see below), whose sum is σ = 186535440. Its totient is φ = 29926400.

The previous prime is 74847979. The next prime is 74848009. The reversal of 74848000 is 84847.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (74848009) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 30831 + ... + 33169.

It is an arithmetic number, because the mean of its divisors is an integer number (2590770).

Almost surely, 2^74848000 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 74848000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93267720).

74848000 is an abundant number, since it is smaller than the sum of its proper divisors (111687440).

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

74848000 is an equidigital number, since it uses as much as digits as its factorization.

74848000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2370 (or 2346 counting only the distinct ones).

The product of its (nonzero) digits is 7168, while the sum is 31.

The square root of 74848000 is about 8651.4738628745. The cubic root of 74848000 is about 421.4312471616.

The spelling of 74848000 in words is "seventy-four million, eight hundred forty-eight thousand".