75996312 has 64 divisors (see below), whose sum is σ = 217969920. Its totient is φ = 21629568.

The previous prime is 75996293. The next prime is 75996331. The reversal of 75996312 is 21369957.

It is an interprime number because it is at equal distance from previous prime (75996293) and next prime (75996331).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 52543 + ... + 53969.

It is an arithmetic number, because the mean of its divisors is an integer number (3405780).

Almost surely, 2^75996312 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 75996312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108984960).

75996312 is an abundant number, since it is smaller than the sum of its proper divisors (141973608).

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

75996312 is a wasteful number, since it uses less digits than its factorization.

75996312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1760 (or 1756 counting only the distinct ones).

The product of its digits is 102060, while the sum is 42.

The square root of 75996312 is about 8717.5863632086. The cubic root of 75996312 is about 423.5755066842.

The spelling of 75996312 in words is "seventy-five million, nine hundred ninety-six thousand, three hundred twelve".