72164515 has 8 divisors (see below), whose sum is σ = 87784128. Its totient is φ = 56940480.

The previous prime is 72164513. The next prime is 72164539. The reversal of 72164515 is 51546127.

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

It is not a de Polignac number, because 72164515 - 2¹ = 72164513 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (72164513) 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, 98491 + ... + 99220.

It is an arithmetic number, because the mean of its divisors is an integer number (10973016).

Almost surely, 2^72164515 is an apocalyptic number.

72164515 is a deficient number, since it is larger than the sum of its proper divisors (15619613).

72164515 is a wasteful number, since it uses less digits than its factorization.

72164515 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197789.

The product of its digits is 8400, while the sum is 31.

The square root of 72164515 is about 8494.9699822895. The cubic root of 72164515 is about 416.3333800569. Note that the first 4 decimals are identical.

The spelling of 72164515 in words is "seventy-two million, one hundred sixty-four thousand, five hundred fifteen".