75712512 has 48 divisors (see below), whose sum is σ = 201867120. Its totient is φ = 25235456.

The previous prime is 75712501. The next prime is 75712513. The reversal of 75712512 is 21521757.

It is a tau number, because it is divible by the number of its divisors (48).

It is a self number, because there is not a number n which added to its sum of digits gives 75712512.

It is not an unprimeable number, because it can be changed into a prime (75712513) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 18 + ... + 12305.

It is an arithmetic number, because the mean of its divisors is an integer number (4205565).

Almost surely, 2^75712512 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 75712512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100933560).

75712512 is an abundant number, since it is smaller than the sum of its proper divisors (126154608).

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

75712512 is a wasteful number, since it uses less digits than its factorization.

75712512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12348 (or 12328 counting only the distinct ones).

The product of its digits is 4900, while the sum is 30.

The square root of 75712512 is about 8701.2936969166. The cubic root of 75712512 is about 423.0475833555.

The spelling of 75712512 in words is "seventy-five million, seven hundred twelve thousand, five hundred twelve".