75128069025 has 45 divisors (see below), whose sum is σ = 139186005123. Its totient is φ = 40061725200.

The previous prime is 75128069017. The next prime is 75128069033. The reversal of 75128069025 is 52096082157.

The square root of 75128069025 is 274095.

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

It is an interprime number because it is at equal distance from previous prime (75128069017) and next prime (75128069033).

It can be written as a sum of positive squares in only one way, i.e., 27046104849 + 48081964176 = 164457^2 + 219276^2 .

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

It is not a de Polignac number, because 75128069025 - 2³ = 75128069017 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 12331230 + ... + 12337320.

Almost surely, 2^75128069025 is an apocalyptic number.

75128069025 is a gapful number since it is divisible by the number (75) formed by its first and last digit.

75128069025 is the 274095-th square number.

75128069025 is the 137048-th centered octagonal number.

It is an amenable number.

75128069025 is a deficient number, since it is larger than the sum of its proper divisors (64057936098).

75128069025 is an frugal number, since it uses more digits than its factorization.

75128069025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12204 (or 6099 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 45.

The spelling of 75128069025 in words is "seventy-five billion, one hundred twenty-eight million, sixty-nine thousand, twenty-five".