75894336 has 126 divisors (see below), whose sum is σ = 253147830. Its totient is φ = 21676032.

The previous prime is 75894323. The next prime is 75894347. The reversal of 75894336 is 63349857.

It can be written as a sum of positive squares in only one way, i.e., 45158400 + 30735936 = 6720^2 + 5544^2 .

It is a tau number, because it is divible by the number of its divisors (126).

It is a junction number, because it is equal to n+sod(n) for n = 75894291 and 75894300.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 26880 + ... + 29568.

Almost surely, 2^75894336 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 75894336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126573915).

75894336 is an abundant number, since it is smaller than the sum of its proper divisors (177253494).

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

75894336 is a wasteful number, since it uses less digits than its factorization.

75894336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2721 (or 2701 counting only the distinct ones).

The product of its digits is 544320, while the sum is 45.

The square root of 75894336 is about 8711.7355331759. The cubic root of 75894336 is about 423.3859629664.

The spelling of 75894336 in words is "seventy-five million, eight hundred ninety-four thousand, three hundred thirty-six".