74129640 has 256 divisors, whose sum is σ = 262483200. Its totient is φ = 16588800.

The previous prime is 74129633. The next prime is 74129641. The reversal of 74129640 is 4692147.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (74129641) 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 63 ways as a sum of consecutive naturals, for example, 1215210 + ... + 1215270.

It is an arithmetic number, because the mean of its divisors is an integer number (1025325).

Almost surely, 2^74129640 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 74129640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131241600).

74129640 is an abundant number, since it is smaller than the sum of its proper divisors (188353560).

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

74129640 is a wasteful number, since it uses less digits than its factorization.

74129640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 144 counting only the distinct ones).

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

The square root of 74129640 is about 8609.8571416720. The cubic root of 74129640 is about 420.0786700707.

It can be divided in two parts, 741 and 29640, that added together give a triangular number (30381 = T₂₄₆).

The spelling of 74129640 in words is "seventy-four million, one hundred twenty-nine thousand, six hundred forty".