72147361 has 8 divisors (see below), whose sum is σ = 84760704. Its totient is φ = 60543120.

The previous prime is 72147359. The next prime is 72147367. The reversal of 72147361 is 16374127.

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

It is not a de Polignac number, because 72147361 - 2¹ = 72147359 is a prime.

It is a super-3 number, since 3×72147361³ (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 (72147367) 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, 252121 + ... + 252406.

It is an arithmetic number, because the mean of its divisors is an integer number (10595088).

Almost surely, 2^72147361 is an apocalyptic number.

It is an amenable number.

72147361 is a deficient number, since it is larger than the sum of its proper divisors (12613343).

72147361 is a wasteful number, since it uses less digits than its factorization.

72147361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 504551.

The product of its digits is 7056, while the sum is 31.

The square root of 72147361 is about 8493.9602659772. The cubic root of 72147361 is about 416.3003890098.

The spelling of 72147361 in words is "seventy-two million, one hundred forty-seven thousand, three hundred sixty-one".