72756001 has 2 divisors, whose sum is σ = 72756002. Its totient is φ = 72756000.

The previous prime is 72755993. The next prime is 72756031. The reversal of 72756001 is 10065727.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 58125376 + 14630625 = 7624^2 + 3825^2 .

It is a cyclic number.

It is not a de Polignac number, because 72756001 - 2³ = 72755993 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (72756031) 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, 36378000 + 36378001.

It is an arithmetic number, because the mean of its divisors is an integer number (36378001).

Almost surely, 2^72756001 is an apocalyptic number.

It is an amenable number.

72756001 is a deficient number, since it is larger than the sum of its proper divisors (1).

72756001 is an equidigital number, since it uses as much as digits as its factorization.

72756001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2940, while the sum is 28.

The square root of 72756001 is about 8529.7128322119. The cubic root of 72756001 is about 417.4677585151.

The spelling of 72756001 in words is "seventy-two million, seven hundred fifty-six thousand, one".