72281617 has 8 divisors (see below), whose sum is σ = 76273920. Its totient is φ = 68360160.

The previous prime is 72281597. The next prime is 72281623. The reversal of 72281617 is 71618227.

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 a de Polignac number, because none of the positive numbers 2^k-72281617 is a prime.

It is a super-2 number, since 2×72281617² = 10449264312269378, which contains 22 as substring.

It is a Duffinian number.

It is a zygodrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (72281917) 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, 15609 + ... + 19702.

It is an arithmetic number, because the mean of its divisors is an integer number (9534240).

Almost surely, 2^72281617 is an apocalyptic number.

It is an amenable number.

72281617 is a deficient number, since it is larger than the sum of its proper divisors (3992303).

72281617 is a wasteful number, since it uses less digits than its factorization.

72281617 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35423.

The product of its digits is 9408, while the sum is 34.

The square root of 72281617 is about 8501.8596201067. The cubic root of 72281617 is about 416.5584543164.

The spelling of 72281617 in words is "seventy-two million, two hundred eighty-one thousand, six hundred seventeen".