75987936 has 96 divisors (see below), whose sum is σ = 227717280. Its totient is φ = 24634368.

The previous prime is 75987931. The next prime is 75987937. The reversal of 75987936 is 63978957.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75987931) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30780 + ... + 33156.

It is an arithmetic number, because the mean of its divisors is an integer number (2372055).

Almost surely, 2^75987936 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 75987936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113858640).

75987936 is an abundant number, since it is smaller than the sum of its proper divisors (151729344).

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

75987936 is a wasteful number, since it uses less digits than its factorization.

75987936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2433 (or 2419 counting only the distinct ones).

The product of its digits is 2857680, while the sum is 54.

The square root of 75987936 is about 8717.1059417676. The cubic root of 75987936 is about 423.5599445308.

The spelling of 75987936 in words is "seventy-five million, nine hundred eighty-seven thousand, nine hundred thirty-six".