75222908928 has 448 divisors, whose sum is σ = 233799520320. Its totient is φ = 24174526464.

The previous prime is 75222908923. The next prime is 75222908933. The reversal of 75222908928 is 82980922257.

75222908928 is a `hidden beast` number, since 7 + 522 + 2 + 90 + 8 + 9 + 28 = 666.

It is an interprime number because it is at equal distance from previous prime (75222908923) and next prime (75222908933).

It is a super-3 number, since 3×75222908928³ (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (75222908921) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 1122729951 + ... + 1122730017.

Almost surely, 2^75222908928 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 75222908928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116899760160).

75222908928 is an abundant number, since it is smaller than the sum of its proper divisors (158576611392).

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

75222908928 is an frugal number, since it uses more digits than its factorization.

75222908928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The spelling of 75222908928 in words is "seventy-five billion, two hundred twenty-two million, nine hundred eight thousand, nine hundred twenty-eight".