75032711040 has 256 divisors, whose sum is σ = 274538304000. Its totient is φ = 17074741248.

The previous prime is 75032710993. The next prime is 75032711063. The reversal of 75032711040 is 4011723057.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 75032710989 and 75032711007.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3065571 + ... + 3089949.

It is an arithmetic number, because the mean of its divisors is an integer number (1072415250).

Almost surely, 2^75032711040 is an apocalyptic number.

75032711040 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 75032711040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137269152000).

75032711040 is an abundant number, since it is smaller than the sum of its proper divisors (199505592960).

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

75032711040 is a wasteful number, since it uses less digits than its factorization.

75032711040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24637 (or 24625 counting only the distinct ones).

The product of its (nonzero) digits is 5880, while the sum is 30.

The spelling of 75032711040 in words is "seventy-five billion, thirty-two million, seven hundred eleven thousand, forty".