82531872 has 120 divisors (see below), whose sum is σ = 257139036. Its totient is φ = 25878528.

The previous prime is 82531849. The next prime is 82531879. The reversal of 82531872 is 27813528.

It can be written as a sum of positive squares in 2 ways, for example, as 80353296 + 2178576 = 8964^2 + 1476^2 .

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

It is not an unprimeable number, because it can be changed into a prime (82531879) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 43128 + ... + 45000.

Almost surely, 2^82531872 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 82531872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128569518).

82531872 is an abundant number, since it is smaller than the sum of its proper divisors (174607164).

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

82531872 is a wasteful number, since it uses less digits than its factorization.

82531872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1912 (or 1895 counting only the distinct ones).

The product of its digits is 26880, while the sum is 36.

The square root of 82531872 is about 9084.7053887289. The cubic root of 82531872 is about 435.3854372124.

The spelling of 82531872 in words is "eighty-two million, five hundred thirty-one thousand, eight hundred seventy-two".