75168648 has 56 divisors (see below), whose sum is σ = 211331550. Its totient is φ = 25054272.

The previous prime is 75168631. The next prime is 75168649. The reversal of 75168648 is 84686157.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 59629284 + 15539364 = 7722^2 + 3942^2 .

It is not an unprimeable number, because it can be changed into a prime (75168649) by changing a digit.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 613 + ... + 12276.

Almost surely, 2^75168648 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 75168648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105665775).

75168648 is an abundant number, since it is smaller than the sum of its proper divisors (136162902).

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

75168648 is a wasteful number, since it uses less digits than its factorization.

75168648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12913 (or 12894 counting only the distinct ones).

The product of its digits is 322560, while the sum is 45.

The square root of 75168648 is about 8669.9854671158. The cubic root of 75168648 is about 422.0321920891.

The spelling of 75168648 in words is "seventy-five million, one hundred sixty-eight thousand, six hundred forty-eight".