75143622120 has 256 divisors, whose sum is σ = 271807488000. Its totient is φ = 16234960896.

The previous prime is 75143622109. The next prime is 75143622143. The reversal of 75143622120 is 2122634157.

It is a super-3 number, since 3×75143622120³ (a number of 34 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7384396 + ... + 7394564.

It is an arithmetic number, because the mean of its divisors is an integer number (1061748000).

Almost surely, 2^75143622120 is an apocalyptic number.

75143622120 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 75143622120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135903744000).

75143622120 is an abundant number, since it is smaller than the sum of its proper divisors (196663865880).

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

75143622120 is a wasteful number, since it uses less digits than its factorization.

75143622120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10672 (or 10668 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 33.

The spelling of 75143622120 in words is "seventy-five billion, one hundred forty-three million, six hundred twenty-two thousand, one hundred twenty".