72116451 has 24 divisors (see below), whose sum is σ = 114170160. Its totient is φ = 43502400.

The previous prime is 72116437. The next prime is 72116497. The reversal of 72116451 is 15461127.

It is a happy number.

72116451 is a `hidden beast` number, since 7 + 2 + 11 + 645 + 1 = 666.

It is not a de Polignac number, because 72116451 - 2¹³ = 72108259 is a prime.

It is not an unprimeable number, because it can be changed into a prime (72116351) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21081 + ... + 24261.

It is an arithmetic number, because the mean of its divisors is an integer number (4757090).

Almost surely, 2^72116451 is an apocalyptic number.

72116451 is a deficient number, since it is larger than the sum of its proper divisors (42053709).

72116451 is a wasteful number, since it uses less digits than its factorization.

72116451 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3427 (or 3424 counting only the distinct ones).

The product of its digits is 1680, while the sum is 27.

The square root of 72116451 is about 8492.1405428785. The cubic root of 72116451 is about 416.2409288395.

Adding to 72116451 its reverse (15461127), we get a palindrome (87577578).

The spelling of 72116451 in words is "seventy-two million, one hundred sixteen thousand, four hundred fifty-one".