72000125 has 8 divisors (see below), whose sum is σ = 89856312. Its totient is φ = 57600000.

The previous prime is 72000121. The next prime is 72000133. The reversal of 72000125 is 52100027.

It can be written as a sum of positive squares in 4 ways, for example, as 5968249 + 66031876 = 2443^2 + 8126^2 .

It is not a de Polignac number, because 72000125 - 2² = 72000121 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72000121) 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 7 ways as a sum of consecutive naturals, for example, 287876 + ... + 288125.

It is an arithmetic number, because the mean of its divisors is an integer number (11232039).

Almost surely, 2^72000125 is an apocalyptic number.

It is an amenable number.

72000125 is a deficient number, since it is larger than the sum of its proper divisors (17856187).

72000125 is an equidigital number, since it uses as much as digits as its factorization.

72000125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 576016 (or 576006 counting only the distinct ones).

The product of its (nonzero) digits is 140, while the sum is 17.

The square root of 72000125 is about 8485.2887399310. The cubic root of 72000125 is about 416.0170053607.

It can be divided in two parts, 72000 and 125, that multiplied together give a square (9000000 = 3000²).

The spelling of 72000125 in words is "seventy-two million, one hundred twenty-five", and thus it is an aban number.