74601216 has 144 divisors (see below), whose sum is σ = 226638720. Its totient is φ = 24192000.

The previous prime is 74601211. The next prime is 74601229. The reversal of 74601216 is 61210647.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 74601216.

It is not an unprimeable number, because it can be changed into a prime (74601211) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 297091 + ... + 297341.

It is an arithmetic number, because the mean of its divisors is an integer number (1573880).

Almost surely, 2^74601216 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 74601216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113319360).

74601216 is an abundant number, since it is smaller than the sum of its proper divisors (152037504).

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

74601216 is a wasteful number, since it uses less digits than its factorization.

74601216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 319 (or 299 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 74601216 is about 8637.1995461492. The cubic root of 74601216 is about 420.9675652009.

The spelling of 74601216 in words is "seventy-four million, six hundred one thousand, two hundred sixteen".