74535072 has 96 divisors (see below), whose sum is σ = 209563200. Its totient is φ = 23113728.

The previous prime is 74535059. The next prime is 74535121. The reversal of 74535072 is 27053547.

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, 177679 + ... + 178097.

It is an arithmetic number, because the mean of its divisors is an integer number (2182950).

Almost surely, 2^74535072 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 74535072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104781600).

74535072 is an abundant number, since it is smaller than the sum of its proper divisors (135028128).

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

74535072 is a wasteful number, since it uses less digits than its factorization.

74535072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 558 (or 550 counting only the distinct ones).

The product of its (nonzero) digits is 29400, while the sum is 33.

The square root of 74535072 is about 8633.3696781732. The cubic root of 74535072 is about 420.8431136461.

The spelling of 74535072 in words is "seventy-four million, five hundred thirty-five thousand, seventy-two".