75394000 has 160 divisors (see below), whose sum is σ = 208915200. Its totient is φ = 26048000.

The previous prime is 75393991. The next prime is 75394001. The reversal of 75394000 is 49357.

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 75394000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75394001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 505926 + ... + 506074.

It is an arithmetic number, because the mean of its divisors is an integer number (1305720).

Almost surely, 2^75394000 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 75394000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104457600).

75394000 is an abundant number, since it is smaller than the sum of its proper divisors (133521200).

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

75394000 is a wasteful number, since it uses less digits than its factorization.

75394000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 28.

The square root of 75394000 is about 8682.9718414838. The cubic root of 75394000 is about 422.4535154208.

The spelling of 75394000 in words is "seventy-five million, three hundred ninety-four thousand".