75760209972 has 72 divisors (see below), whose sum is σ = 195206271624. Its totient is φ = 24765751296.

The previous prime is 75760209937. The next prime is 75760210003. The reversal of 75760209972 is 27990206757.

It can be written as a sum of positive squares in 4 ways, for example, as 2230295076 + 73529914896 = 47226^2 + 271164^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4939788 + ... + 4955100.

It is an arithmetic number, because the mean of its divisors is an integer number (2711198217).

Almost surely, 2^75760209972 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 75760209972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97603135812).

75760209972 is an abundant number, since it is smaller than the sum of its proper divisors (119446061652).

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

75760209972 is a wasteful number, since it uses less digits than its factorization.

75760209972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17969 (or 17964 counting only the distinct ones).

The product of its (nonzero) digits is 3333960, while the sum is 54.

The spelling of 75760209972 in words is "seventy-five billion, seven hundred sixty million, two hundred nine thousand, nine hundred seventy-two".