75667616 has 48 divisors (see below), whose sum is σ = 153990144. Its totient is φ = 36578304.

The previous prime is 75667609. The next prime is 75667619. The reversal of 75667616 is 61676657.

It is a super-2 number, since 2×75667616² = 11451176222246912, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (75667619) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 174536 + ... + 174968.

It is an arithmetic number, because the mean of its divisors is an integer number (3208128).

Almost surely, 2^75667616 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 75667616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76995072).

75667616 is an abundant number, since it is smaller than the sum of its proper divisors (78322528).

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

75667616 is a wasteful number, since it uses less digits than its factorization.

75667616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 613 (or 605 counting only the distinct ones).

The product of its digits is 317520, while the sum is 44.

The square root of 75667616 is about 8698.7134680940. The cubic root of 75667616 is about 422.9639472465.

The spelling of 75667616 in words is "seventy-five million, six hundred sixty-seven thousand, six hundred sixteen".