75414900 has 72 divisors (see below), whose sum is σ = 238047264. Its totient is φ = 18281600.

The previous prime is 75414887. The next prime is 75414923. The reversal of 75414900 is 941457.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8127 + ... + 14726.

It is an arithmetic number, because the mean of its divisors is an integer number (3306212).

Almost surely, 2^75414900 is an apocalyptic number.

It is an amenable number.

75414900 is an abundant number, since it is smaller than the sum of its proper divisors (162632364).

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

75414900 is a wasteful number, since it uses less digits than its factorization.

75414900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22881 (or 22874 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 30.

The square root of 75414900 is about 8684.1752630863. The cubic root of 75414900 is about 422.4925479820.

The spelling of 75414900 in words is "seventy-five million, four hundred fourteen thousand, nine hundred".