75414000 has 80 divisors (see below), whose sum is σ = 243154080. Its totient is φ = 20108800.

The previous prime is 75413993. The next prime is 75414011. The reversal of 75414000 is 41457.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 285 + ... + 12284.

It is an arithmetic number, because the mean of its divisors is an integer number (3039426).

Almost surely, 2^75414000 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 75414000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121577040).

75414000 is an abundant number, since it is smaller than the sum of its proper divisors (167740080).

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

75414000 is a wasteful number, since it uses less digits than its factorization.

75414000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12595 (or 12579 counting only the distinct ones).

The product of its (nonzero) digits is 560, while the sum is 21.

The square root of 75414000 is about 8684.1234445395. The cubic root of 75414000 is about 422.4908673026.

Adding to 75414000 its reverse (41457), we get a palindrome (75455457).

The spelling of 75414000 in words is "seventy-five million, four hundred fourteen thousand".