74560000 has 100 divisors (see below), whose sum is σ = 186957342. Its totient is φ = 29696000.

The previous prime is 74559973. The next prime is 74560037. The reversal of 74560000 is 6547.

It can be written as a sum of positive squares in 5 ways, for example, as 186624 + 74373376 = 432^2 + 8624^2 .

It is a tau number, because it is divible by the number of its divisors (100).

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 319884 + ... + 320116.

Almost surely, 2^74560000 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 74560000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93478671).

74560000 is an abundant number, since it is smaller than the sum of its proper divisors (112397342).

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

74560000 is an frugal number, since it uses more digits than its factorization.

74560000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 271 (or 240 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 22.

The square root of 74560000 is about 8634.8132579692. The cubic root of 74560000 is about 420.8900249302.

Adding to 74560000 its reverse (6547), we get a palindrome (74566547).

The spelling of 74560000 in words is "seventy-four million, five hundred sixty thousand".