71759025 has 36 divisors (see below), whose sum is σ = 138420828. Its totient is φ = 35326080.

The previous prime is 71759003. The next prime is 71759027. The reversal of 71759025 is 52095717.

It can be written as a sum of positive squares in 6 ways, for example, as 27123264 + 44635761 = 5208^2 + 6681^2 .

It is not a de Polignac number, because 71759025 - 2⁵ = 71758993 is a prime.

It is not an unprimeable number, because it can be changed into a prime (71759027) by changing a digit.

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, 9342 + ... + 15191.

It is an arithmetic number, because the mean of its divisors is an integer number (3845023).

Almost surely, 2^71759025 is an apocalyptic number.

71759025 is a gapful number since it is divisible by the number (75) formed by its first and last digit.

It is an amenable number.

71759025 is a deficient number, since it is larger than the sum of its proper divisors (66661803).

71759025 is a wasteful number, since it uses less digits than its factorization.

71759025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24562 (or 24554 counting only the distinct ones).

The product of its (nonzero) digits is 22050, while the sum is 36.

The square root of 71759025 is about 8471.0698852034. The cubic root of 71759025 is about 415.5521271600.

The spelling of 71759025 in words is "seventy-one million, seven hundred fifty-nine thousand, twenty-five".