75155968 has 40 divisors (see below), whose sum is σ = 151056180. Its totient is φ = 37355520.

The previous prime is 75155957. The next prime is 75155989. The reversal of 75155968 is 86955157.

75155968 = T₁₂₇ + T₁₂₈ + ... + T₇₆₇.

It can be written as a sum of positive squares in 2 ways, for example, as 58247424 + 16908544 = 7632^2 + 4112^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 116928 + ... + 117568.

Almost surely, 2^75155968 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 75155968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75528090).

75155968 is an abundant number, since it is smaller than the sum of its proper divisors (75900212).

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

75155968 is an equidigital number, since it uses as much as digits as its factorization.

75155968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 888 (or 872 counting only the distinct ones).

The product of its digits is 378000, while the sum is 46.

The square root of 75155968 is about 8669.2541778402. The cubic root of 75155968 is about 422.0084602573.

The spelling of 75155968 in words is "seventy-five million, one hundred fifty-five thousand, nine hundred sixty-eight".