74338560 has 216 divisors, whose sum is σ = 267845760. Its totient is φ = 19740672.

The previous prime is 74338559. The next prime is 74338567. The reversal of 74338560 is 6583347.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (216).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (74338567) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 310921 + ... + 311159.

Almost surely, 2^74338560 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 74338560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133922880).

74338560 is an abundant number, since it is smaller than the sum of its proper divisors (193507200).

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

74338560 is an equidigital number, since it uses as much as digits as its factorization.

74338560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 275 (or 249 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 74338560 is about 8621.9812108355. The cubic root of 74338560 is about 420.4729366425.

The spelling of 74338560 in words is "seventy-four million, three hundred thirty-eight thousand, five hundred sixty".