74281968 has 80 divisors (see below), whose sum is σ = 215343360. Its totient is φ = 24513984.

The previous prime is 74281937. The next prime is 74282009. The reversal of 74281968 is 86918247.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 45421 + ... + 47027.

It is an arithmetic number, because the mean of its divisors is an integer number (2691792).

Almost surely, 2^74281968 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 74281968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107671680).

74281968 is an abundant number, since it is smaller than the sum of its proper divisors (141061392).

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

74281968 is a wasteful number, since it uses less digits than its factorization.

74281968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1731 (or 1719 counting only the distinct ones).

The product of its digits is 193536, while the sum is 45.

The square root of 74281968 is about 8618.6987416895. The cubic root of 74281968 is about 420.3662112084.

The spelling of 74281968 in words is "seventy-four million, two hundred eighty-one thousand, nine hundred sixty-eight".