82089872 has 60 divisors (see below), whose sum is σ = 173475876. Its totient is φ = 37601280.

The previous prime is 82089869. The next prime is 82089877. The reversal of 82089872 is 27898028.

It can be written as a sum of positive squares in 6 ways, for example, as 3519376 + 78570496 = 1876^2 + 8864^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82089877) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 189368 + ... + 189800.

Almost surely, 2^82089872 is an apocalyptic number.

82089872 is a gapful number since it is divisible by the number (82) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82089872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86737938).

82089872 is an abundant number, since it is smaller than the sum of its proper divisors (91386004).

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

82089872 is a wasteful number, since it uses less digits than its factorization.

82089872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 516 (or 493 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 44.

The square root of 82089872 is about 9060.3461302535. The cubic root of 82089872 is about 434.6068090173.

The spelling of 82089872 in words is "eighty-two million, eighty-nine thousand, eight hundred seventy-two".