72165419856 has 80 divisors (see below), whose sum is σ = 208030792320. Its totient is φ = 23951865600.

The previous prime is 72165419803. The next prime is 72165419891. The reversal of 72165419856 is 65891456127.

It is a happy number.

72165419856 is a `hidden beast` number, since 7 + 2 + 1 + 6 + 541 + 98 + 5 + 6 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 257820 + ... + 459131.

It is an arithmetic number, because the mean of its divisors is an integer number (2600384904).

Almost surely, 2^72165419856 is an apocalyptic number.

It is an amenable number.

72165419856 is an abundant number, since it is smaller than the sum of its proper divisors (135865372464).

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

72165419856 is a wasteful number, since it uses less digits than its factorization.

72165419856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 717201 (or 717189 counting only the distinct ones).

The product of its digits is 3628800, while the sum is 54.

The spelling of 72165419856 in words is "seventy-two billion, one hundred sixty-five million, four hundred nineteen thousand, eight hundred fifty-six".