71288325 has 36 divisors (see below), whose sum is σ = 128990628. Its totient is φ = 37632000.

The previous prime is 71288317. The next prime is 71288333. The reversal of 71288325 is 52388217.

It is an interprime number because it is at equal distance from previous prime (71288317) and next prime (71288333).

It can be written as a sum of positive squares in 6 ways, for example, as 17969121 + 53319204 = 4239^2 + 7302^2 .

It is not a de Polignac number, because 71288325 - 2³ = 71288317 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 71288325.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 21157 + ... + 24293.

It is an arithmetic number, because the mean of its divisors is an integer number (3583073).

Almost surely, 2^71288325 is an apocalyptic number.

71288325 is a gapful number since it is divisible by the number (75) formed by its first and last digit.

It is an amenable number.

71288325 is a deficient number, since it is larger than the sum of its proper divisors (57702303).

71288325 is a wasteful number, since it uses less digits than its factorization.

71288325 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3254 (or 3246 counting only the distinct ones).

The product of its digits is 26880, while the sum is 36.

The square root of 71288325 is about 8443.2413799441. The cubic root of 71288325 is about 414.6415349437.

The spelling of 71288325 in words is "seventy-one million, two hundred eighty-eight thousand, three hundred twenty-five".