75875616 has 120 divisors (see below), whose sum is σ = 226769004. Its totient is φ = 24883200.

The previous prime is 75875609. The next prime is 75875623. The reversal of 75875616 is 61657857.

75875616 is a `hidden beast` number, since 7 + 5 + 87 + 561 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (75875609) and next prime (75875623).

It can be written as a sum of positive squares in 2 ways, for example, as 65610000 + 10265616 = 8100^2 + 3204^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 189016 + ... + 189416.

Almost surely, 2^75875616 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 75875616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113384502).

75875616 is an abundant number, since it is smaller than the sum of its proper divisors (150893388).

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

75875616 is a wasteful number, since it uses less digits than its factorization.

75875616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 496 (or 479 counting only the distinct ones).

The product of its digits is 352800, while the sum is 45.

The square root of 75875616 is about 8710.6610541336. The cubic root of 75875616 is about 423.3511494903.

It can be divided in two parts, 7587 and 5616, that added together give a triangular number (13203 = T₁₆₂).

The spelling of 75875616 in words is "seventy-five million, eight hundred seventy-five thousand, six hundred sixteen".