75154968 has 96 divisors (see below), whose sum is σ = 238361760. Its totient is φ = 20943360.

The previous prime is 75154949. The next prime is 75154969. The reversal of 75154968 is 86945157.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75154969) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18846 + ... + 22482.

It is an arithmetic number, because the mean of its divisors is an integer number (2482935).

Almost surely, 2^75154968 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 75154968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119180880).

75154968 is an abundant number, since it is smaller than the sum of its proper divisors (163206792).

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

75154968 is a wasteful number, since it uses less digits than its factorization.

75154968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3697 (or 3690 counting only the distinct ones).

The product of its digits is 302400, while the sum is 45.

The square root of 75154968 is about 8669.1965025601. The cubic root of 75154968 is about 422.0065885482.

The spelling of 75154968 in words is "seventy-five million, one hundred fifty-four thousand, nine hundred sixty-eight".