72508005 has 12 divisors (see below), whose sum is σ = 125680620. Its totient is φ = 38670912.

The previous prime is 72507979. The next prime is 72508013. The reversal of 72508005 is 50080527.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 20061441 + 52446564 = 4479^2 + 7242^2 .

It is not a de Polignac number, because 72508005 - 2⁹ = 72507493 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 72508005.

It is a congruent number.

It is an unprimeable number.

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 in 11 ways as a sum of consecutive naturals, for example, 805600 + ... + 805689.

It is an arithmetic number, because the mean of its divisors is an integer number (10473385).

Almost surely, 2^72508005 is an apocalyptic number.

It is an amenable number.

72508005 is a deficient number, since it is larger than the sum of its proper divisors (53172615).

72508005 is a wasteful number, since it uses less digits than its factorization.

72508005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1611300 (or 1611297 counting only the distinct ones).

The product of its (nonzero) digits is 2800, while the sum is 27.

The square root of 72508005 is about 8515.1632397741. The cubic root of 72508005 is about 416.9928918962.

The spelling of 72508005 in words is "seventy-two million, five hundred eight thousand, five".