72006131 has 4 divisors (see below), whose sum is σ = 72090432. Its totient is φ = 71921832.

The previous prime is 72006113. The next prime is 72006133. The reversal of 72006131 is 13160027.

It is a happy number.

It is a semiprime because it is the product of two primes.

It is a cyclic number.

It is not a de Polignac number, because 72006131 - 2¹⁰ = 72005107 is a prime.

It is a super-2 number, since 2×72006131² = 10369765803178322, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (72006133) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 40856 + ... + 42581.

It is an arithmetic number, because the mean of its divisors is an integer number (18022608).

Almost surely, 2^72006131 is an apocalyptic number.

72006131 is a deficient number, since it is larger than the sum of its proper divisors (84301).

72006131 is an equidigital number, since it uses as much as digits as its factorization.

72006131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84300.

The product of its (nonzero) digits is 252, while the sum is 20.

The square root of 72006131 is about 8485.6426391877. The cubic root of 72006131 is about 416.0285726029.

Adding to 72006131 its reverse (13160027), we get a palindrome (85166158).

It can be divided in two parts, 7200 and 6131, that added together give a palindrome (13331).

The spelling of 72006131 in words is "seventy-two million, six thousand, one hundred thirty-one".