72958228117 has 8 divisors (see below), whose sum is σ = 77116804160. Its totient is φ = 68831519040.

The previous prime is 72958228103. The next prime is 72958228127. The reversal of 72958228117 is 71182285927.

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 72958228117 - 2³¹ = 70810744469 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72958228127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7962033 + ... + 7971190.

It is an arithmetic number, because the mean of its divisors is an integer number (9639600520).

Almost surely, 2^72958228117 is an apocalyptic number.

It is an amenable number.

72958228117 is a deficient number, since it is larger than the sum of its proper divisors (4158576043).

72958228117 is a wasteful number, since it uses less digits than its factorization.

72958228117 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15933483.

The product of its digits is 1128960, while the sum is 52.

The spelling of 72958228117 in words is "seventy-two billion, nine hundred fifty-eight million, two hundred twenty-eight thousand, one hundred seventeen".