72125305 has 24 divisors (see below), whose sum is σ = 106609608. Its totient is φ = 46545408.

The previous prime is 72125303. The next prime is 72125323. The reversal of 72125305 is 50352127.

It can be written as a sum of positive squares in 4 ways, for example, as 27342441 + 44782864 = 5229^2 + 6692^2 .

It is not a de Polignac number, because 72125305 - 2¹ = 72125303 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 72125305.

It is not an unprimeable number, because it can be changed into a prime (72125303) 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 23 ways as a sum of consecutive naturals, for example, 4494 + ... + 12823.

It is an arithmetic number, because the mean of its divisors is an integer number (4442067).

Almost surely, 2^72125305 is an apocalyptic number.

It is an amenable number.

72125305 is a deficient number, since it is larger than the sum of its proper divisors (34484303).

72125305 is a wasteful number, since it uses less digits than its factorization.

72125305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17353 (or 17346 counting only the distinct ones).

The product of its (nonzero) digits is 2100, while the sum is 25.

The square root of 72125305 is about 8492.6618324292. The cubic root of 72125305 is about 416.2579626153.

The spelling of 72125305 in words is "seventy-two million, one hundred twenty-five thousand, three hundred five".