72156032208 has 60 divisors (see below), whose sum is σ = 217470269380. Its totient is φ = 22201855488.

The previous prime is 72156032197. The next prime is 72156032209. The reversal of 72156032208 is 80223065127.

72156032208 is a `hidden beast` number, since 7 + 21 + 5 + 603 + 2 + 20 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 49145569344 + 23010462864 = 221688^2 + 151692^2 .

It is a super-3 number, since 3×72156032208³ (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72156032209) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 19270573 + ... + 19274316.

Almost surely, 2^72156032208 is an apocalyptic number.

72156032208 is a gapful number since it is divisible by the number (78) formed by its first and last digit.

It is an amenable number.

72156032208 is an abundant number, since it is smaller than the sum of its proper divisors (145314237172).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

72156032208 is a wasteful number, since it uses less digits than its factorization.

72156032208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38544916 (or 38544907 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 72156032208 in words is "seventy-two billion, one hundred fifty-six million, thirty-two thousand, two hundred eight".