74309280 has 96 divisors (see below), whose sum is σ = 235872000. Its totient is φ = 19663872.

The previous prime is 74309273. The next prime is 74309299. The reversal of 74309280 is 8290347.

It is a tau number, because it is divible by the number of its divisors (96).

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, 71001 + ... + 72039.

It is an arithmetic number, because the mean of its divisors is an integer number (2457000).

Almost surely, 2^74309280 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 74309280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117936000).

74309280 is an abundant number, since it is smaller than the sum of its proper divisors (161562720).

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

74309280 is a wasteful number, since it uses less digits than its factorization.

74309280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1206 (or 1198 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 33.

The square root of 74309280 is about 8620.2830579976. The cubic root of 74309280 is about 420.4177249895.

The spelling of 74309280 in words is "seventy-four million, three hundred nine thousand, two hundred eighty".