82124672 has 64 divisors (see below), whose sum is σ = 188528640. Its totient is φ = 34905600.

The previous prime is 82124639. The next prime is 82124689. The reversal of 82124672 is 27642128.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×82124672² = 13488923502215168, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 134993 + ... + 135599.

It is an arithmetic number, because the mean of its divisors is an integer number (2945760).

Almost surely, 2^82124672 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 82124672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94264320).

82124672 is an abundant number, since it is smaller than the sum of its proper divisors (106403968).

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

82124672 is a wasteful number, since it uses less digits than its factorization.

82124672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 779 (or 767 counting only the distinct ones).

The product of its digits is 10752, while the sum is 32.

The square root of 82124672 is about 9062.2663831958. The cubic root of 82124672 is about 434.6682139949.

The spelling of 82124672 in words is "eighty-two million, one hundred twenty-four thousand, six hundred seventy-two".