82472580 has 60 divisors (see below), whose sum is σ = 258724620. Its totient is φ = 21992256.

The previous prime is 82472573. The next prime is 82472623. The reversal of 82472580 is 8527428.

It is a happy number.

82472580 is a `hidden beast` number, since 8 + 2 + 4 + 72 + 580 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 26132544 + 56340036 = 5112^2 + 7506^2 .

It is a tau number, because it is divible by the number of its divisors (60).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 23835 + ... + 27074.

It is an arithmetic number, because the mean of its divisors is an integer number (4312077).

Almost surely, 2^82472580 is an apocalyptic number.

It is an amenable number.

82472580 is an abundant number, since it is smaller than the sum of its proper divisors (176252040).

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

82472580 is a wasteful number, since it uses less digits than its factorization.

82472580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50930 (or 50919 counting only the distinct ones).

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

The square root of 82472580 is about 9081.4415155305. The cubic root of 82472580 is about 435.2811499954.

The spelling of 82472580 in words is "eighty-two million, four hundred seventy-two thousand, five hundred eighty".