82572105 has 64 divisors (see below), whose sum is σ = 168192000. Its totient is φ = 34292160.

The previous prime is 82572103. The next prime is 82572137. The reversal of 82572105 is 50127528.

It is not a de Polignac number, because 82572105 - 2¹ = 82572103 is a prime.

It is not an unprimeable number, because it can be changed into a prime (82572103) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 55866 + ... + 57324.

It is an arithmetic number, because the mean of its divisors is an integer number (2628000).

Almost surely, 2^82572105 is an apocalyptic number.

It is an amenable number.

82572105 is an abundant number, since it is smaller than the sum of its proper divisors (85619895).

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

82572105 is a wasteful number, since it uses less digits than its factorization.

82572105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1499 (or 1485 counting only the distinct ones).

The product of its (nonzero) digits is 5600, while the sum is 30.

The square root of 82572105 is about 9086.9194450045. The cubic root of 82572105 is about 435.4561735887.

The spelling of 82572105 in words is "eighty-two million, five hundred seventy-two thousand, one hundred five".