72886543956 has 120 divisors (see below), whose sum is σ = 201221342784. Its totient is φ = 22959002880.

The previous prime is 72886543949. The next prime is 72886543973. The reversal of 72886543956 is 65934568827.

It is a happy number.

72886543956 is a `hidden beast` number, since 7 + 2 + 8 + 86 + 543 + 9 + 5 + 6 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 72886543893 and 72886543902.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 559596 + ... + 677436.

Almost surely, 2^72886543956 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 72886543956, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100610671392).

72886543956 is an abundant number, since it is smaller than the sum of its proper divisors (128334798828).

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

72886543956 is a wasteful number, since it uses less digits than its factorization.

72886543956 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117963 (or 117952 counting only the distinct ones).

The product of its digits is 87091200, while the sum is 63.

The spelling of 72886543956 in words is "seventy-two billion, eight hundred eighty-six million, five hundred forty-three thousand, nine hundred fifty-six".