74113920 has 128 divisors (see below), whose sum is σ = 262548000. Its totient is φ = 19759104.

The previous prime is 74113909. The next prime is 74113933. The reversal of 74113920 is 2931147.

It is a tau number, because it is divible by the number of its divisors (128).

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

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 15136 + ... + 19424.

Almost surely, 2^74113920 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 74113920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131274000).

74113920 is an abundant number, since it is smaller than the sum of its proper divisors (188434080).

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

74113920 is a wasteful number, since it uses less digits than its factorization.

74113920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4317 (or 4299 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 74113920 is about 8608.9441861357. The cubic root of 74113920 is about 420.0489738810.

The spelling of 74113920 in words is "seventy-four million, one hundred thirteen thousand, nine hundred twenty".