72006020 has 12 divisors (see below), whose sum is σ = 151212684. Its totient is φ = 28802400.

The previous prime is 72006017. The next prime is 72006023. The reversal of 72006020 is 2060027.

It is an interprime number because it is at equal distance from previous prime (72006017) and next prime (72006023).

It can be written as a sum of positive squares in 2 ways, for example, as 14002564 + 58003456 = 3742^2 + 7616^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 72006020.

It is not an unprimeable number, because it can be changed into a prime (72006023) 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 in 3 ways as a sum of consecutive naturals, for example, 1800131 + ... + 1800170.

It is an arithmetic number, because the mean of its divisors is an integer number (12601057).

Almost surely, 2^72006020 is an apocalyptic number.

It is an amenable number.

72006020 is an abundant number, since it is smaller than the sum of its proper divisors (79206664).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

72006020 is a wasteful number, since it uses less digits than its factorization.

72006020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3600310 (or 3600308 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 17.

The square root of 72006020 is about 8485.6360987259. The cubic root of 72006020 is about 416.0283588286.

Adding to 72006020 its reverse (2060027), we get a palindrome (74066047).

The spelling of 72006020 in words is "seventy-two million, six thousand, twenty".