75671757225 has 45 divisors (see below), whose sum is σ = 140193186133. Its totient is φ = 40351668480.

The previous prime is 75671757193. The next prime is 75671757233. The reversal of 75671757225 is 52275717657.

The square root of 75671757225 is 275085.

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

75671757225 is a `hidden beast` number, since 7 + 5 + 67 + 1 + 7 + 572 + 2 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 597949209 + 75073808016 = 24453^2 + 273996^2 .

It is a tau number, because it is divible by the number of its divisors (45).

It is not a de Polignac number, because 75671757225 - 2⁵ = 75671757193 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 12375769 + ... + 12381881.

Almost surely, 2^75671757225 is an apocalyptic number.

75671757225 is a gapful number since it is divisible by the number (75) formed by its first and last digit.

75671757225 is the 275085-th square number.

75671757225 is the 137543-rd centered octagonal number.

It is an amenable number.

75671757225 is a deficient number, since it is larger than the sum of its proper divisors (64521428908).

75671757225 is an frugal number, since it uses more digits than its factorization.

75671757225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12248 (or 6121 counting only the distinct ones).

The product of its digits is 7203000, while the sum is 54.

The spelling of 75671757225 in words is "seventy-five billion, six hundred seventy-one million, seven hundred fifty-seven thousand, two hundred twenty-five".