82872615672 has 320 divisors, whose sum is σ = 290899952640. Its totient is φ = 21413548800.

The previous prime is 82872615659. The next prime is 82872615737. The reversal of 82872615672 is 27651627828.

82872615672 is a `hidden beast` number, since 8 + 2 + 8 + 72 + 6 + 1 + 567 + 2 = 666.

It is a super-3 number, since 3×82872615672³ (a number of 34 digits) contains 333 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 9825297 + ... + 9833727.

It is an arithmetic number, because the mean of its divisors is an integer number (909062352).

Almost surely, 2^82872615672 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 82872615672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145449976320).

82872615672 is an abundant number, since it is smaller than the sum of its proper divisors (208027336968).

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

82872615672 is a wasteful number, since it uses less digits than its factorization.

82872615672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8664 (or 8651 counting only the distinct ones).

The product of its digits is 4515840, while the sum is 54.

The spelling of 82872615672 in words is "eighty-two billion, eight hundred seventy-two million, six hundred fifteen thousand, six hundred seventy-two".