72008510 has 32 divisors (see below), whose sum is σ = 149064192. Its totient is φ = 24533280.

The previous prime is 72008507. The next prime is 72008513. The reversal of 72008510 is 1580027.

It is an interprime number because it is at equal distance from previous prime (72008507) and next prime (72008513).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72008513) 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 15 ways as a sum of consecutive naturals, for example, 8255 + ... + 14565.

It is an arithmetic number, because the mean of its divisors is an integer number (4658256).

Almost surely, 2^72008510 is an apocalyptic number.

72008510 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

72008510 is an abundant number, since it is smaller than the sum of its proper divisors (77055682).

72008510 is a wasteful number, since it uses less digits than its factorization.

72008510 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6488.

The product of its (nonzero) digits is 560, while the sum is 23.

The square root of 72008510 is about 8485.7828159811. The cubic root of 72008510 is about 416.0331542548.

Adding to 72008510 its reverse (1580027), we get a palindrome (73588537).

The spelling of 72008510 in words is "seventy-two million, eight thousand, five hundred ten".