72117200418 has 16 divisors (see below), whose sum is σ = 144370099776. Its totient is φ = 24016450320.

The previous prime is 72117200411. The next prime is 72117200431. The reversal of 72117200418 is 81400271127.

It is a super-2 number, since 2×72117200418² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (72117200411) 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, 5647213 + ... + 5659968.

It is an arithmetic number, because the mean of its divisors is an integer number (9023131236).

Almost surely, 2^72117200418 is an apocalyptic number.

72117200418 is an abundant number, since it is smaller than the sum of its proper divisors (72252899358).

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

72117200418 is a wasteful number, since it uses less digits than its factorization.

72117200418 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11308249.

The product of its (nonzero) digits is 6272, while the sum is 33.

The spelling of 72117200418 in words is "seventy-two billion, one hundred seventeen million, two hundred thousand, four hundred eighteen".