75867712 has 56 divisors (see below), whose sum is σ = 159699960. Its totient is φ = 35696640.

The previous prime is 75867709. The next prime is 75867763. The reversal of 75867712 is 21776857.

It can be written as a sum of positive squares in 4 ways, for example, as 7706176 + 68161536 = 2776^2 + 8256^2 .

It is a super-2 number, since 2×75867712² = 11511819448229888, which contains 22 as substring.

It is a hoax number, since the sum of its digits (43) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 75598 + ... + 76594.

It is an arithmetic number, because the mean of its divisors is an integer number (2851785).

Almost surely, 2^75867712 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 75867712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79849980).

75867712 is an abundant number, since it is smaller than the sum of its proper divisors (83832248).

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

75867712 is a wasteful number, since it uses less digits than its factorization.

75867712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1079 (or 1069 counting only the distinct ones).

The product of its digits is 164640, while the sum is 43.

The square root of 75867712 is about 8710.2073454080. The cubic root of 75867712 is about 423.3364487477.

The spelling of 75867712 in words is "seventy-five million, eight hundred sixty-seven thousand, seven hundred twelve".