72287971 has 8 divisors (see below), whose sum is σ = 82721120. Its totient is φ = 61881408.

The previous prime is 72287953. The next prime is 72287977. The reversal of 72287971 is 17978227.

It is a happy number.

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 72287971 - 2¹¹ = 72285923 is a prime.

It is a super-3 number, since 3×72287971³ (a number of 25 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (72287977) 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, 426 + ... + 12031.

It is an arithmetic number, because the mean of its divisors is an integer number (10340140).

Almost surely, 2^72287971 is an apocalyptic number.

72287971 is a deficient number, since it is larger than the sum of its proper divisors (10433149).

72287971 is a wasteful number, since it uses less digits than its factorization.

72287971 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13293.

The product of its digits is 98784, while the sum is 43.

The square root of 72287971 is about 8502.2332948467. The cubic root of 72287971 is about 416.5706599780.

The spelling of 72287971 in words is "seventy-two million, two hundred eighty-seven thousand, nine hundred seventy-one".