75091968 has 208 divisors, whose sum is σ = 256869760. Its totient is φ = 21233664.

The previous prime is 75091967. The next prime is 75091969. The reversal of 75091968 is 86919057.

It is an interprime number because it is at equal distance from previous prime (75091967) and next prime (75091969).

It is a super-2 number, since 2×75091968² = 11277607316226048, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75091963) 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, 774096 + ... + 774192.

Almost surely, 2^75091968 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 75091968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128434880).

75091968 is an abundant number, since it is smaller than the sum of its proper divisors (181777792).

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

75091968 is an equidigital number, since it uses as much as digits as its factorization.

75091968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 45.

The square root of 75091968 is about 8665.5621860327. The cubic root of 75091968 is about 421.8886373863. Note that the first 3 decimals are identical.

The spelling of 75091968 in words is "seventy-five million, ninety-one thousand, nine hundred sixty-eight".