82772124 has 48 divisors (see below), whose sum is σ = 202272000. Its totient is φ = 26294400.

The previous prime is 82771991. The next prime is 82772143. The reversal of 82772124 is 42127728.

It is a super-2 number, since 2×82772124² = 13702449022942752, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 137424 + ... + 138024.

It is an arithmetic number, because the mean of its divisors is an integer number (4214000).

Almost surely, 2^82772124 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 82772124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101136000).

82772124 is an abundant number, since it is smaller than the sum of its proper divisors (119499876).

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

82772124 is a wasteful number, since it uses less digits than its factorization.

82772124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1130 (or 1128 counting only the distinct ones).

The product of its digits is 12544, while the sum is 33.

The square root of 82772124 is about 9097.9186630789. The cubic root of 82772124 is about 435.8074999606.

It can be divided in two parts, 8277 and 2124, that added together give a palindrome (10401).

The spelling of 82772124 in words is "eighty-two million, seven hundred seventy-two thousand, one hundred twenty-four".