75207257172 has 36 divisors (see below), whose sum is σ = 190126247220. Its totient is φ = 25066578432.

The previous prime is 75207257171. The next prime is 75207257179. The reversal of 75207257172 is 27175270257.

75207257172 is a `hidden beast` number, since 7 + 5 + 2 + 0 + 7 + 2 + 571 + 72 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 44236184976 + 30971072196 = 210324^2 + 175986^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×75207257172² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75207257171) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 279838 + ... + 478250.

It is an arithmetic number, because the mean of its divisors is an integer number (5281284645).

Almost surely, 2^75207257172 is an apocalyptic number.

It is an amenable number.

75207257172 is an abundant number, since it is smaller than the sum of its proper divisors (114918990048).

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

75207257172 is a wasteful number, since it uses less digits than its factorization.

75207257172 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208952 (or 208947 counting only the distinct ones).

The product of its (nonzero) digits is 480200, while the sum is 45.

The spelling of 75207257172 in words is "seventy-five billion, two hundred seven million, two hundred fifty-seven thousand, one hundred seventy-two".