75422117120 has 216 divisors, whose sum is σ = 216939760128. Its totient is φ = 25024204800.

The previous prime is 75422117039. The next prime is 75422117129. The reversal of 75422117120 is 2171122457.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75422117129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1924925 + ... + 1963715.

Almost surely, 2^75422117120 is an apocalyptic number.

75422117120 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 75422117120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108469880064).

75422117120 is an abundant number, since it is smaller than the sum of its proper divisors (141517643008).

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

75422117120 is a wasteful number, since it uses less digits than its factorization.

75422117120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38857 (or 38836 counting only the distinct ones).

The product of its (nonzero) digits is 7840, while the sum is 32.

Adding to 75422117120 its reverse (2171122457), we get a palindrome (77593239577).

The spelling of 75422117120 in words is "seventy-five billion, four hundred twenty-two million, one hundred seventeen thousand, one hundred twenty".