75385674 has 192 divisors, whose sum is σ = 222969600. Its totient is φ = 18361728.

The previous prime is 75385649. The next prime is 75385729. The reversal of 75385674 is 47658357.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2599492 + ... + 2599520.

It is an arithmetic number, because the mean of its divisors is an integer number (1161300).

Almost surely, 2^75385674 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 75385674, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111484800).

75385674 is an abundant number, since it is smaller than the sum of its proper divisors (147583926).

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

75385674 is a wasteful number, since it uses less digits than its factorization.

75385674 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106 (or 77 counting only the distinct ones).

The product of its digits is 705600, while the sum is 45.

The square root of 75385674 is about 8682.4923841026. The cubic root of 75385674 is about 422.4379638851.

The spelling of 75385674 in words is "seventy-five million, three hundred eighty-five thousand, six hundred seventy-four".