72210350672065 has 8 divisors (see below), whose sum is σ = 88994378125800. Its totient is φ = 56206975658112.

The previous prime is 72210350672059. The next prime is 72210350672071. The reversal of 72210350672065 is 56027605301227.

It is an interprime number because it is at equal distance from previous prime (72210350672059) and next prime (72210350672071).

It can be written as a sum of positive squares in 4 ways, for example, as 32434927157889 + 39775423514176 = 5695167^2 + 6306776^2 .

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 72210350672065 - 2⁷ = 72210350671937 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 195163109740 + ... + 195163110109.

It is an arithmetic number, because the mean of its divisors is an integer number (11124297265725).

Almost surely, 2^{72210350672065} is an apocalyptic number.

It is an amenable number.

72210350672065 is a deficient number, since it is larger than the sum of its proper divisors (16784027453735).

72210350672065 is a wasteful number, since it uses less digits than its factorization.

72210350672065 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 390326219891.

The product of its (nonzero) digits is 1058400, while the sum is 46.

The spelling of 72210350672065 in words is "seventy-two trillion, two hundred ten billion, three hundred fifty million, six hundred seventy-two thousand, sixty-five".