72025137 has 6 divisors (see below), whose sum is σ = 104036322. Its totient is φ = 48016752.

The previous prime is 72025127. The next prime is 72025139. The reversal of 72025137 is 73152027.

It can be written as a sum of positive squares in only one way, i.e., 62346816 + 9678321 = 7896^2 + 3111^2 .

It is not a de Polignac number, because 72025137 - 2¹⁸ = 71762993 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 72025137.

It is not an unprimeable number, because it can be changed into a prime (72025139) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4001388 + ... + 4001405.

It is an arithmetic number, because the mean of its divisors is an integer number (17339387).

Almost surely, 2^72025137 is an apocalyptic number.

It is an amenable number.

72025137 is a deficient number, since it is larger than the sum of its proper divisors (32011185).

72025137 is a wasteful number, since it uses less digits than its factorization.

72025137 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8002799 (or 8002796 counting only the distinct ones).

The product of its (nonzero) digits is 2940, while the sum is 27.

The square root of 72025137 is about 8486.7624569090. The cubic root of 72025137 is about 416.0651729283.

The spelling of 72025137 in words is "seventy-two million, twenty-five thousand, one hundred thirty-seven".