72197873664 has 224 divisors, whose sum is σ = 223070928000. Its totient is φ = 20341850112.

The previous prime is 72197873641. The next prime is 72197873687. The reversal of 72197873664 is 46637879127.

It is an interprime number because it is at equal distance from previous prime (72197873641) and next prime (72197873687).

It is a tau number, because it is divible by the number of its divisors (224).

It is a junction number, because it is equal to n+sod(n) for n = 72197873598 and 72197873607.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12555462 + ... + 12561210.

Almost surely, 2^72197873664 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72197873664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111535464000).

72197873664 is an abundant number, since it is smaller than the sum of its proper divisors (150873054336).

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

72197873664 is an equidigital number, since it uses as much as digits as its factorization.

72197873664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5858 (or 5834 counting only the distinct ones).

The product of its digits is 21337344, while the sum is 60.

The spelling of 72197873664 in words is "seventy-two billion, one hundred ninety-seven million, eight hundred seventy-three thousand, six hundred sixty-four".