72546937 has 2 divisors, whose sum is σ = 72546938. Its totient is φ = 72546936.

The previous prime is 72546911. The next prime is 72546941. The reversal of 72546937 is 73964527.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 37748736 + 34798201 = 6144^2 + 5899^2 .

It is a cyclic number.

It is not a de Polignac number, because 72546937 - 2⁷ = 72546809 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 72546893 and 72546902.

It is not a weakly prime, because it can be changed into another prime (72546907) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36273468 + 36273469.

It is an arithmetic number, because the mean of its divisors is an integer number (36273469).

Almost surely, 2^72546937 is an apocalyptic number.

It is an amenable number.

72546937 is a deficient number, since it is larger than the sum of its proper divisors (1).

72546937 is an equidigital number, since it uses as much as digits as its factorization.

72546937 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 317520, while the sum is 43.

The square root of 72546937 is about 8517.4489725504. The cubic root of 72546937 is about 417.0675110712.

The spelling of 72546937 in words is "seventy-two million, five hundred forty-six thousand, nine hundred thirty-seven".