75972168 has 40 divisors (see below), whose sum is σ = 212794230. Its totient is φ = 25323840.

The previous prime is 75972157. The next prime is 75972179. The reversal of 75972168 is 86127957.

It is an interprime number because it is at equal distance from previous prime (75972157) and next prime (75972179).

It can be written as a sum of positive squares in only one way, i.e., 74338884 + 1633284 = 8622^2 + 1278^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 57973 + ... + 59268.

Almost surely, 2^75972168 is an apocalyptic number.

It is an amenable number.

75972168 is an abundant number, since it is smaller than the sum of its proper divisors (136822062).

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

75972168 is a wasteful number, since it uses less digits than its factorization.

75972168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117259 (or 117246 counting only the distinct ones).

The product of its digits is 211680, while the sum is 45.

The square root of 75972168 is about 8716.2014662352. The cubic root of 75972168 is about 423.5306453395.

It can be divided in two parts, 759 and 72168, that added together give a palindrome (72927).

The spelling of 75972168 in words is "seventy-five million, nine hundred seventy-two thousand, one hundred sixty-eight".