82540872 has 48 divisors (see below), whose sum is σ = 229008780. Its totient is φ = 26841600.

The previous prime is 82540853. The next prime is 82540891. The reversal of 82540872 is 27804528.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (82540853) and next prime (82540891).

It can be written as a sum of positive squares in 2 ways, for example, as 68657796 + 13883076 = 8286^2 + 3726^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11029 + ... + 16932.

Almost surely, 2^82540872 is an apocalyptic number.

82540872 is a gapful number since it is divisible by the number (82) formed by its first and last digit.

It is an amenable number.

82540872 is an abundant number, since it is smaller than the sum of its proper divisors (146467908).

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

82540872 is a wasteful number, since it uses less digits than its factorization.

82540872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28014 (or 28007 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 36.

The square root of 82540872 is about 9085.2007132479. The cubic root of 82540872 is about 435.4012627208.

The spelling of 82540872 in words is "eighty-two million, five hundred forty thousand, eight hundred seventy-two".