74860128 has 144 divisors (see below), whose sum is σ = 247193856. Its totient is φ = 21047040.

The previous prime is 74860111. The next prime is 74860141. The reversal of 74860128 is 82106847.

74860128 is a `hidden beast` number, since 7 + 48 + 601 + 2 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 74860092 and 74860101.

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 23 ways as a sum of consecutive naturals, for example, 142875 + ... + 143397.

It is an arithmetic number, because the mean of its divisors is an integer number (1716624).

Almost surely, 2^74860128 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 74860128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123596928).

74860128 is an abundant number, since it is smaller than the sum of its proper divisors (172333728).

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

74860128 is a wasteful number, since it uses less digits than its factorization.

74860128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 617 (or 606 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 74860128 is about 8652.1747555167. The cubic root of 74860128 is about 421.4540081444.

The spelling of 74860128 in words is "seventy-four million, eight hundred sixty thousand, one hundred twenty-eight".