72147817 has 8 divisors (see below), whose sum is σ = 84683456. Its totient is φ = 60169392.

The previous prime is 72147809. The next prime is 72147869. The reversal of 72147817 is 71874127.

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 72147817 - 2³ = 72147809 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (72147217) 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, 139023 + ... + 139540.

It is an arithmetic number, because the mean of its divisors is an integer number (10585432).

Almost surely, 2^72147817 is an apocalyptic number.

It is an amenable number.

72147817 is a deficient number, since it is larger than the sum of its proper divisors (12535639).

72147817 is a wasteful number, since it uses less digits than its factorization.

72147817 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 278607.

The product of its digits is 21952, while the sum is 37.

The square root of 72147817 is about 8493.9871085374. The cubic root of 72147817 is about 416.3012660692.

The spelling of 72147817 in words is "seventy-two million, one hundred forty-seven thousand, eight hundred seventeen".