72765125 has 16 divisors (see below), whose sum is σ = 93271152. Its totient is φ = 56635200.

The previous prime is 72765109. The next prime is 72765127. The reversal of 72765125 is 52156727.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 23639044 + 49126081 = 4862^2 + 7009^2 .

It is not a de Polignac number, because 72765125 - 2⁴ = 72765109 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 (72765127) 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 15 ways as a sum of consecutive naturals, for example, 3242 + ... + 12491.

It is an arithmetic number, because the mean of its divisors is an integer number (5829447).

Almost surely, 2^72765125 is an apocalyptic number.

It is an amenable number.

72765125 is a deficient number, since it is larger than the sum of its proper divisors (20506027).

72765125 is a wasteful number, since it uses less digits than its factorization.

72765125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15785 (or 15775 counting only the distinct ones).

The product of its digits is 29400, while the sum is 35.

The square root of 72765125 is about 8530.2476517391. The cubic root of 72765125 is about 417.4852086983.

The spelling of 72765125 in words is "seventy-two million, seven hundred sixty-five thousand, one hundred twenty-five".