72087479856 has 240 divisors, whose sum is σ = 243812395008. Its totient is φ = 19445529600.

The previous prime is 72087479851. The next prime is 72087479899. The reversal of 72087479856 is 65897478027.

72087479856 is a `hidden beast` number, since 7 + 2 + 0 + 87 + 479 + 85 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 72087479793 and 72087479802.

It is not an unprimeable number, because it can be changed into a prime (72087479851) 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, 1253035 + ... + 1309301.

Almost surely, 2^72087479856 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 72087479856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121906197504).

72087479856 is an abundant number, since it is smaller than the sum of its proper divisors (171724915152).

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

72087479856 is a wasteful number, since it uses less digits than its factorization.

72087479856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56360 (or 56351 counting only the distinct ones).

The product of its (nonzero) digits is 47416320, while the sum is 63.

The spelling of 72087479856 in words is "seventy-two billion, eighty-seven million, four hundred seventy-nine thousand, eight hundred fifty-six".