72016931 has 8 divisors (see below), whose sum is σ = 83230560. Its totient is φ = 61034688.

The previous prime is 72016921. The next prime is 72016943. The reversal of 72016931 is 13961027.

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

It is a cyclic number.

It is not a de Polignac number, because 72016931 - 2¹⁰ = 72015907 is a prime.

It is a super-2 number, since 2×72016931² = 10372876701317522, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 72016894 and 72016903.

It is not an unprimeable number, because it can be changed into a prime (72016921) 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 7 ways as a sum of consecutive naturals, for example, 57176 + ... + 58421.

It is an arithmetic number, because the mean of its divisors is an integer number (10403820).

Almost surely, 2^72016931 is an apocalyptic number.

72016931 is a deficient number, since it is larger than the sum of its proper divisors (11213629).

72016931 is a wasteful number, since it uses less digits than its factorization.

72016931 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115693.

The product of its (nonzero) digits is 2268, while the sum is 29.

The square root of 72016931 is about 8486.2789843370. The cubic root of 72016931 is about 416.0493712206.

Adding to 72016931 its reverse (13961027), we get a palindrome (85977958).

The spelling of 72016931 in words is "seventy-two million, sixteen thousand, nine hundred thirty-one".