74653128 has 192 divisors, whose sum is σ = 239803200. Its totient is φ = 20908800.

The previous prime is 74653123. The next prime is 74653129. The reversal of 74653128 is 82135647.

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

Its product of digits (40320) is a multiple of the sum of its prime factors (105).

It is a junction number, because it is equal to n+sod(n) for n = 74653092 and 74653101.

It is not an unprimeable number, because it can be changed into a prime (74653121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1820788 + ... + 1820828.

It is an arithmetic number, because the mean of its divisors is an integer number (1248975).

Almost surely, 2^74653128 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 74653128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119901600).

74653128 is an abundant number, since it is smaller than the sum of its proper divisors (165150072).

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

74653128 is a wasteful number, since it uses less digits than its factorization.

74653128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105 (or 76 counting only the distinct ones).

The product of its digits is 40320, while the sum is 36.

The square root of 74653128 is about 8640.2041642545. The cubic root of 74653128 is about 421.0651873865.

The spelling of 74653128 in words is "seventy-four million, six hundred fifty-three thousand, one hundred twenty-eight".