75727705152 has 224 divisors, whose sum is σ = 224909627904. Its totient is φ = 22292582400.

The previous prime is 75727705093. The next prime is 75727705153. The reversal of 75727705152 is 25150772757.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (75727705153) 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 31 ways as a sum of consecutive naturals, for example, 10326127 + ... + 10333457.

Almost surely, 2^75727705152 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 75727705152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112454813952).

75727705152 is an abundant number, since it is smaller than the sum of its proper divisors (149181922752).

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

75727705152 is a wasteful number, since it uses less digits than its factorization.

75727705152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7497 (or 7487 counting only the distinct ones).

The product of its (nonzero) digits is 1200500, while the sum is 48.

The spelling of 75727705152 in words is "seventy-five billion, seven hundred twenty-seven million, seven hundred five thousand, one hundred fifty-two".