72195676056 has 768 divisors, whose sum is σ = 261167616000. Its totient is φ = 18341406720.

The previous prime is 72195676009. The next prime is 72195676057. The reversal of 72195676056 is 65067659127.

72195676056 is a `hidden beast` number, since 7 + 2 + 19 + 567 + 60 + 5 + 6 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 72195675993 and 72195676011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72195676057) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 230656956 + ... + 230657268.

It is an arithmetic number, because the mean of its divisors is an integer number (340062000).

Almost surely, 2^72195676056 is an apocalyptic number.

72195676056 is a gapful number since it is divisible by the number (76) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72195676056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130583808000).

72195676056 is an abundant number, since it is smaller than the sum of its proper divisors (188971939944).

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

72195676056 is a wasteful number, since it uses less digits than its factorization.

72195676056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 429 (or 412 counting only the distinct ones).

The product of its (nonzero) digits is 4762800, while the sum is 54.

The spelling of 72195676056 in words is "seventy-two billion, one hundred ninety-five million, six hundred seventy-six thousand, fifty-six".