74073168 has 60 divisors (see below), whose sum is σ = 223253940. Its totient is φ = 22791168.

The previous prime is 74073157. The next prime is 74073169. The reversal of 74073168 is 86137047.

It can be written as a sum of positive squares in 2 ways, for example, as 27123264 + 46949904 = 5208^2 + 6852^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (74073169) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17913 + ... + 21656.

It is an arithmetic number, because the mean of its divisors is an integer number (3720899).

Almost surely, 2^74073168 is an apocalyptic number.

74073168 is a gapful number since it is divisible by the number (78) formed by its first and last digit.

It is an amenable number.

74073168 is an abundant number, since it is smaller than the sum of its proper divisors (149180772).

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

74073168 is a wasteful number, since it uses less digits than its factorization.

74073168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39596 (or 39587 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 74073168 is about 8606.5770199307. The cubic root of 74073168 is about 419.9719709186.

The spelling of 74073168 in words is "seventy-four million, seventy-three thousand, one hundred sixty-eight".