74124960 has 192 divisors, whose sum is σ = 287546112. Its totient is φ = 15630336.

The previous prime is 74124959. The next prime is 74124971. The reversal of 74124960 is 6942147.

It is a happy 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 31 ways as a sum of consecutive naturals, for example, 42832 + ... + 44528.

It is an arithmetic number, because the mean of its divisors is an integer number (1497636).

Almost surely, 2^74124960 is an apocalyptic number.

74124960 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 74124960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143773056).

74124960 is an abundant number, since it is smaller than the sum of its proper divisors (213421152).

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

74124960 is a wasteful number, since it uses less digits than its factorization.

74124960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1735 (or 1727 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 33.

The square root of 74124960 is about 8609.5853558694. The cubic root of 74124960 is about 420.0698296592.

The spelling of 74124960 in words is "seventy-four million, one hundred twenty-four thousand, nine hundred sixty".