74146072 has 128 divisors (see below), whose sum is σ = 191600640. Its totient is φ = 25966080.

The previous prime is 74146031. The next prime is 74146073. The reversal of 74146072 is 27064147.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (74146073) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 376278 + ... + 376474.

It is an arithmetic number, because the mean of its divisors is an integer number (1496880).

Almost surely, 2^74146072 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 74146072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95800320).

74146072 is an abundant number, since it is smaller than the sum of its proper divisors (117454568).

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

74146072 is a wasteful number, since it uses less digits than its factorization.

74146072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 281 (or 277 counting only the distinct ones).

The product of its (nonzero) digits is 9408, while the sum is 31.

The square root of 74146072 is about 8610.8113438862. The cubic root of 74146072 is about 420.1097067911.

The spelling of 74146072 in words is "seventy-four million, one hundred forty-six thousand, seventy-two".