75129107040 has 336 divisors, whose sum is σ = 286593361488. Its totient is φ = 18492945408.

The previous prime is 75129107023. The next prime is 75129107041. The reversal of 75129107040 is 4070192157.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 75129106986 and 75129107004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75129107041) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 1491547 + ... + 1541093.

It is an arithmetic number, because the mean of its divisors is an integer number (852956433).

Almost surely, 2^75129107040 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 75129107040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143296680744).

75129107040 is an abundant number, since it is smaller than the sum of its proper divisors (211464254448).

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

75129107040 is a wasteful number, since it uses less digits than its factorization.

75129107040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49593 (or 49570 counting only the distinct ones).

The product of its (nonzero) digits is 17640, while the sum is 36.

Adding to 75129107040 its reverse (4070192157), we get a palindrome (79199299197).

The spelling of 75129107040 in words is "seventy-five billion, one hundred twenty-nine million, one hundred seven thousand, forty".