75712608 has 72 divisors (see below), whose sum is σ = 216858096. Its totient is φ = 25056000.

The previous prime is 75712603. The next prime is 75712621. The reversal of 75712608 is 80621757.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75712603) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 42618 + ... + 44358.

It is an arithmetic number, because the mean of its divisors is an integer number (3011918).

Almost surely, 2^75712608 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 75712608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108429048).

75712608 is an abundant number, since it is smaller than the sum of its proper divisors (141145488).

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

75712608 is a wasteful number, since it uses less digits than its factorization.

75712608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1908 (or 1897 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 36.

The square root of 75712608 is about 8701.2992133359. The cubic root of 75712608 is about 423.0477621571.

The spelling of 75712608 in words is "seventy-five million, seven hundred twelve thousand, six hundred eight".