75268471201 has 45 divisors (see below), whose sum is σ = 96706214003. Its totient is φ = 58535529360.

The previous prime is 75268471199. The next prime is 75268471207. The reversal of 75268471201 is 10217486257.

The square root of 75268471201 is 274351.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 61207254801 + 14061216400 = 247401^2 + 118580^2 .

It is not a de Polignac number, because 75268471201 - 2¹ = 75268471199 is a prime.

It is not an unprimeable number, because it can be changed into a prime (75268471207) 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 44 ways as a sum of consecutive naturals, for example, 147874935 + ... + 147875443.

Almost surely, 2^75268471201 is an apocalyptic number.

75268471201 is the 274351-st square number.

75268471201 is the 137176-th centered octagonal number.

It is an amenable number.

75268471201 is a deficient number, since it is larger than the sum of its proper divisors (21437742802).

75268471201 is an frugal number, since it uses more digits than its factorization.

75268471201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1068 (or 527 counting only the distinct ones).

The product of its (nonzero) digits is 188160, while the sum is 43.

The spelling of 75268471201 in words is "seventy-five billion, two hundred sixty-eight million, four hundred seventy-one thousand, two hundred one".