75140631072 has 192 divisors, whose sum is σ = 238935352320. Its totient is φ = 23119914240.

The previous prime is 75140631029. The next prime is 75140631077. The reversal of 75140631072 is 27013604157.

It is a happy number.

75140631072 is a `hidden beast` number, since 7 + 5 + 14 + 0 + 631 + 0 + 7 + 2 = 666.

It is a super-2 number, since 2×75140631072² (a number of 23 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (75140631077) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 868497 + ... + 951087.

It is an arithmetic number, because the mean of its divisors is an integer number (1244454960).

Almost surely, 2^75140631072 is an apocalyptic number.

75140631072 is a gapful number since it is divisible by the number (72) 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 75140631072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119467676160).

75140631072 is an abundant number, since it is smaller than the sum of its proper divisors (163794721248).

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

75140631072 is an equidigital number, since it uses as much as digits as its factorization.

75140631072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82635 (or 82609 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The spelling of 75140631072 in words is "seventy-five billion, one hundred forty million, six hundred thirty-one thousand, seventy-two".