72564010 has 8 divisors (see below), whose sum is σ = 130615236. Its totient is φ = 29025600.

The previous prime is 72563999. The next prime is 72564013. The reversal of 72564010 is 1046527.

It can be written as a sum of positive squares in 2 ways, for example, as 71351809 + 1212201 = 8447^2 + 1101^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is not an unprimeable number, because it can be changed into a prime (72564013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3628191 + ... + 3628210.

Almost surely, 2^72564010 is an apocalyptic number.

72564010 is a deficient number, since it is larger than the sum of its proper divisors (58051226).

72564010 is a wasteful number, since it uses less digits than its factorization.

72564010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7256408.

The product of its (nonzero) digits is 1680, while the sum is 25.

The square root of 72564010 is about 8518.4511502972. The cubic root of 72564010 is about 417.1002256851.

The spelling of 72564010 in words is "seventy-two million, five hundred sixty-four thousand, ten".