72037649 has 2 divisors, whose sum is σ = 72037650. Its totient is φ = 72037648.

The previous prime is 72037601. The next prime is 72037661. The reversal of 72037649 is 94673027.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 71707024 + 330625 = 8468^2 + 575^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-72037649 is a prime.

It is not a weakly prime, because it can be changed into another prime (72037249) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36018824 + 36018825.

It is an arithmetic number, because the mean of its divisors is an integer number (36018825).

Almost surely, 2^72037649 is an apocalyptic number.

It is an amenable number.

72037649 is a deficient number, since it is larger than the sum of its proper divisors (1).

72037649 is an equidigital number, since it uses as much as digits as its factorization.

72037649 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 63504, while the sum is 38.

The square root of 72037649 is about 8487.4995729013. The cubic root of 72037649 is about 416.0892640824.

The spelling of 72037649 in words is "seventy-two million, thirty-seven thousand, six hundred forty-nine".