82772172 has 72 divisors (see below), whose sum is σ = 249646320. Its totient is φ = 23647680.

The previous prime is 82772143. The next prime is 82772191. The reversal of 82772172 is 27127728.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2529 + ... + 13112.

It is an arithmetic number, because the mean of its divisors is an integer number (3467310).

Almost surely, 2^82772172 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 82772172, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124823160).

82772172 is an abundant number, since it is smaller than the sum of its proper divisors (166874148).

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

82772172 is a wasteful number, since it uses less digits than its factorization.

82772172 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15668 (or 15653 counting only the distinct ones).

The product of its digits is 21952, while the sum is 36.

The square root of 82772172 is about 9097.9213010445. The cubic root of 82772172 is about 435.8075842030.

It can be divided in two parts, 82772 and 172, that added together give a square (82944 = 288²).

The spelling of 82772172 in words is "eighty-two million, seven hundred seventy-two thousand, one hundred seventy-two".