75714400 has 144 divisors (see below), whose sum is σ = 197987328. Its totient is φ = 28224000.

The previous prime is 75714391. The next prime is 75714403. The reversal of 75714400 is 441757.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75714403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1066365 + ... + 1066435.

It is an arithmetic number, because the mean of its divisors is an integer number (1374912).

Almost surely, 2^75714400 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 75714400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98993664).

75714400 is an abundant number, since it is smaller than the sum of its proper divisors (122272928).

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

75714400 is a wasteful number, since it uses less digits than its factorization.

75714400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165 (or 152 counting only the distinct ones).

The product of its (nonzero) digits is 3920, while the sum is 28.

The square root of 75714400 is about 8701.4021858549. The cubic root of 75714400 is about 423.0510997589.

The spelling of 75714400 in words is "seventy-five million, seven hundred fourteen thousand, four hundred".