82720506 has 32 divisors (see below), whose sum is σ = 180937728. Its totient is φ = 25003440.

The previous prime is 82720483. The next prime is 82720507. The reversal of 82720506 is 60502728.

It is a super-2 number, since 2×82720506² = 13685364225792072, which contains 22 as substring.

It is a house number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (82720507) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29205 + ... + 31911.

It is an arithmetic number, because the mean of its divisors is an integer number (5654304).

Almost surely, 2^82720506 is an apocalyptic number.

82720506 is an abundant number, since it is smaller than the sum of its proper divisors (98217222).

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

82720506 is a wasteful number, since it uses less digits than its factorization.

82720506 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3186.

The product of its (nonzero) digits is 6720, while the sum is 30.

The square root of 82720506 is about 9095.0814179973. The cubic root of 82720506 is about 435.7168889825.

The spelling of 82720506 in words is "eighty-two million, seven hundred twenty thousand, five hundred six".