72667862856 has 256 divisors, whose sum is σ = 221051462400. Its totient is φ = 22029815808.

The previous prime is 72667862837. The next prime is 72667862867. The reversal of 72667862856 is 65826876627.

It is a junction number, because it is equal to n+sod(n) for n = 72667862793 and 72667862802.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13036486 + ... + 13042058.

It is an arithmetic number, because the mean of its divisors is an integer number (863482275).

Almost surely, 2^72667862856 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 72667862856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110525731200).

72667862856 is an abundant number, since it is smaller than the sum of its proper divisors (148383599544).

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

72667862856 is a wasteful number, since it uses less digits than its factorization.

72667862856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5725 (or 5715 counting only the distinct ones).

The product of its digits is 81285120, while the sum is 63.

The spelling of 72667862856 in words is "seventy-two billion, six hundred sixty-seven million, eight hundred sixty-two thousand, eight hundred fifty-six".