82872504 has 128 divisors (see below), whose sum is σ = 270547200. Its totient is φ = 23172480.

The previous prime is 82872497. The next prime is 82872511. The reversal of 82872504 is 40527828.

It is a happy number.

82872504 is a `hidden beast` number, since 82 + 8 + 72 + 504 = 666.

It is an interprime number because it is at equal distance from previous prime (82872497) and next prime (82872511).

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 pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 29547 + ... + 32229.

It is an arithmetic number, because the mean of its divisors is an integer number (2113650).

Almost surely, 2^82872504 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 82872504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135273600).

82872504 is an abundant number, since it is smaller than the sum of its proper divisors (187674696).

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

82872504 is a wasteful number, since it uses less digits than its factorization.

82872504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2722 (or 2712 counting only the distinct ones).

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

The square root of 82872504 is about 9103.4336379193. The cubic root of 82872504 is about 435.9836006513.

The spelling of 82872504 in words is "eighty-two million, eight hundred seventy-two thousand, five hundred four".