74074920 has 128 divisors (see below), whose sum is σ = 238723200. Its totient is φ = 18330624.

The previous prime is 74074919. The next prime is 74074921. The reversal of 74074920 is 2947047.

It is an interprime number because it is at equal distance from previous prime (74074919) and next prime (74074921).

It is not an unprimeable number, because it can be changed into a prime (74074921) 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, 120534 + ... + 121146.

It is an arithmetic number, because the mean of its divisors is an integer number (1865025).

Almost surely, 2^74074920 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 74074920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119361600).

74074920 is an abundant number, since it is smaller than the sum of its proper divisors (164648280).

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

74074920 is a wasteful number, since it uses less digits than its factorization.

74074920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 699 (or 695 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 33.

The square root of 74074920 is about 8606.6788019537. The cubic root of 74074920 is about 419.9752819920.

The spelling of 74074920 in words is "seventy-four million, seventy-four thousand, nine hundred twenty".