72283228417 has 8 divisors (see below), whose sum is σ = 76142024000. Its totient is φ = 68429874384.

The previous prime is 72283228399. The next prime is 72283228439. The reversal of 72283228417 is 71482238227.

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

It is not a de Polignac number, because 72283228417 - 2¹¹ = 72283226369 is a prime.

It is a super-2 number, since 2×72283228417² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (72283228477) 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, 1333098 + ... + 1386259.

It is an arithmetic number, because the mean of its divisors is an integer number (9517753000).

Almost surely, 2^72283228417 is an apocalyptic number.

It is an amenable number.

72283228417 is a deficient number, since it is larger than the sum of its proper divisors (3858795583).

72283228417 is a wasteful number, since it uses less digits than its factorization.

72283228417 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2720775.

The product of its digits is 602112, while the sum is 46.

It can be divided in two parts, 72283 and 228417, that added together give a triangular number (300700 = T₇₇₅).

The spelling of 72283228417 in words is "seventy-two billion, two hundred eighty-three million, two hundred twenty-eight thousand, four hundred seventeen".