72164281 has 8 divisors (see below), whose sum is σ = 83825984. Its totient is φ = 60840720.

The previous prime is 72164251. The next prime is 72164291. The reversal of 72164281 is 18246127.

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 72164281 - 2⁷ = 72164153 is a prime.

It is a super-2 number, since 2×72164281² = 10415366904493922, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (72164251) 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 7 ways as a sum of consecutive naturals, for example, 84075 + ... + 84928.

It is an arithmetic number, because the mean of its divisors is an integer number (10478248).

Almost surely, 2^72164281 is an apocalyptic number.

It is an amenable number.

72164281 is a deficient number, since it is larger than the sum of its proper divisors (11661703).

72164281 is a wasteful number, since it uses less digits than its factorization.

72164281 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169071.

The product of its digits is 5376, while the sum is 31.

The square root of 72164281 is about 8494.9562094222. The cubic root of 72164281 is about 416.3329300568.

The spelling of 72164281 in words is "seventy-two million, one hundred sixty-four thousand, two hundred eighty-one".