72525010317 has 16 divisors (see below), whose sum is σ = 98357498880. Its totient is φ = 47521572912.

The previous prime is 72525010307. The next prime is 72525010319. The reversal of 72525010317 is 71301052527.

It is a happy number.

It is not a de Polignac number, because 72525010317 - 2⁴ = 72525010301 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72525010319) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 980838 + ... + 1052184.

It is an arithmetic number, because the mean of its divisors is an integer number (6147343680).

Almost surely, 2^72525010317 is an apocalyptic number.

It is an amenable number.

72525010317 is a deficient number, since it is larger than the sum of its proper divisors (25832488563).

72525010317 is a wasteful number, since it uses less digits than its factorization.

72525010317 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77152.

The product of its (nonzero) digits is 14700, while the sum is 33.

The spelling of 72525010317 in words is "seventy-two billion, five hundred twenty-five million, ten thousand, three hundred seventeen".