75912564 has 72 divisors (see below), whose sum is σ = 221920608. Its totient is φ = 20018880.

The previous prime is 75912559. The next prime is 75912611. The reversal of 75912564 is 46521957.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2679 + ... + 12609.

Almost surely, 2^75912564 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 75912564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110960304).

75912564 is an abundant number, since it is smaller than the sum of its proper divisors (146008044).

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

75912564 is a wasteful number, since it uses less digits than its factorization.

75912564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9965 (or 9956 counting only the distinct ones).

The product of its digits is 75600, while the sum is 39.

The square root of 75912564 is about 8712.7816453759. The cubic root of 75912564 is about 423.4198559725.

The spelling of 75912564 in words is "seventy-five million, nine hundred twelve thousand, five hundred sixty-four".