82723356 has 60 divisors (see below), whose sum is σ = 218017800. Its totient is φ = 27349920.

The previous prime is 82723339. The next prime is 82723373. The reversal of 82723356 is 65332728.

It is an interprime number because it is at equal distance from previous prime (82723339) and next prime (82723373).

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

It is a self number, because there is not a number n which added to its sum of digits gives 82723356.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 41470 + ... + 43418.

It is an arithmetic number, because the mean of its divisors is an integer number (3633630).

Almost surely, 2^82723356 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 82723356, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109008900).

82723356 is an abundant number, since it is smaller than the sum of its proper divisors (135294444).

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

82723356 is a wasteful number, since it uses less digits than its factorization.

82723356 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2096 (or 2085 counting only the distinct ones).

The product of its digits is 60480, while the sum is 36.

The square root of 82723356 is about 9095.2380947395. The cubic root of 82723356 is about 435.7218928965.

It can be divided in two parts, 8272 and 3356, that added together give a triangular number (11628 = T₁₅₂).

The spelling of 82723356 in words is "eighty-two million, seven hundred twenty-three thousand, three hundred fifty-six".