72640789056 has 336 divisors, whose sum is σ = 240501830400. Its totient is φ = 20731161600.

The previous prime is 72640789031. The next prime is 72640789057. The reversal of 72640789056 is 65098704627.

It is a super-2 number, since 2×72640789056² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 72640788993 and 72640789011.

It is not an unprimeable number, because it can be changed into a prime (72640789057) 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 47 ways as a sum of consecutive naturals, for example, 21547051 + ... + 21550421.

Almost surely, 2^72640789056 is an apocalyptic number.

72640789056 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 72640789056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120250915200).

72640789056 is an abundant number, since it is smaller than the sum of its proper divisors (167861041344).

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

72640789056 is a wasteful number, since it uses less digits than its factorization.

72640789056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3598 (or 3585 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 54.

The spelling of 72640789056 in words is "seventy-two billion, six hundred forty million, seven hundred eighty-nine thousand, fifty-six".