36072125 has 8 divisors (see below), whose sum is σ = 45018168. Its totient is φ = 28857600.

The previous prime is 36072121. The next prime is 36072137. The reversal of 36072125 is 52127063.

It can be written as a sum of positive squares in 4 ways, for example, as 3193369 + 32878756 = 1787^2 + 5734^2 .

It is not a de Polignac number, because 36072125 - 2² = 36072121 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a plaindrome in base 16.

It is a junction number, because it is equal to n+sod(n) for n = 36072094 and 36072103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36072121) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 144164 + ... + 144413.

It is an arithmetic number, because the mean of its divisors is an integer number (5627271).

Almost surely, 2^36072125 is an apocalyptic number.

It is an amenable number.

36072125 is a deficient number, since it is larger than the sum of its proper divisors (8946043).

36072125 is an equidigital number, since it uses as much as digits as its factorization.

36072125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 288592 (or 288582 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 26.

The square root of 36072125 is about 6006.0074092528. The cubic root of 36072125 is about 330.4130884416.

Adding to 36072125 its reverse (52127063), we get a palindrome (88199188).

The spelling of 36072125 in words is "thirty-six million, seventy-two thousand, one hundred twenty-five".