72553037 has 2 divisors, whose sum is σ = 72553038. Its totient is φ = 72553036.

The previous prime is 72552947. The next prime is 72553049. The reversal of 72553037 is 73035527.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 42237001 + 30316036 = 6499^2 + 5506^2 .

It is an emirp because it is prime and its reverse (73035527) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 72553037 - 2¹² = 72548941 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 72552994 and 72553012.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (72553057) 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, 36276518 + 36276519.

It is an arithmetic number, because the mean of its divisors is an integer number (36276519).

Almost surely, 2^72553037 is an apocalyptic number.

It is an amenable number.

72553037 is a deficient number, since it is larger than the sum of its proper divisors (1).

72553037 is an equidigital number, since it uses as much as digits as its factorization.

72553037 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 22050, while the sum is 32.

The square root of 72553037 is about 8517.8070534616. The cubic root of 72553037 is about 417.0792002415.

The spelling of 72553037 in words is "seventy-two million, five hundred fifty-three thousand, thirty-seven".