74338992 has 320 divisors, whose sum is σ = 275537920. Its totient is φ = 18662400.

The previous prime is 74338987. The next prime is 74339003. The reversal of 74338992 is 29983347.

It is a happy number.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1218642 + ... + 1218702.

It is an arithmetic number, because the mean of its divisors is an integer number (861056).

Almost surely, 2^74338992 is an apocalyptic number.

74338992 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 74338992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137768960).

74338992 is an abundant number, since it is smaller than the sum of its proper divisors (201198928).

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

74338992 is a wasteful number, since it uses less digits than its factorization.

74338992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129 (or 117 counting only the distinct ones).

The product of its digits is 326592, while the sum is 45.

The square root of 74338992 is about 8622.0062630457. The cubic root of 74338992 is about 420.4737511321.

The spelling of 74338992 in words is "seventy-four million, three hundred thirty-eight thousand, nine hundred ninety-two".