74838000 has 80 divisors (see below), whose sum is σ = 241297056. Its totient is φ = 19955200.

The previous prime is 74837993. The next prime is 74838007. The reversal of 74838000 is 83847.

It is an interprime number because it is at equal distance from previous prime (74837993) and next prime (74838007).

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (74838007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 237 + ... + 12236.

Almost surely, 2^74838000 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 74838000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120648528).

74838000 is an abundant number, since it is smaller than the sum of its proper divisors (166459056).

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

74838000 is a wasteful number, since it uses less digits than its factorization.

74838000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12499 (or 12483 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

The square root of 74838000 is about 8650.8959073613. The cubic root of 74838000 is about 421.4124780109.

The spelling of 74838000 in words is "seventy-four million, eight hundred thirty-eight thousand".