82072130 has 32 divisors (see below), whose sum is σ = 169893504. Its totient is φ = 27962496.

The previous prime is 82072129. The next prime is 82072139. The reversal of 82072130 is 3127028.

It is a junction number, because it is equal to n+sod(n) for n = 82072096 and 82072105.

It is not an unprimeable number, because it can be changed into a prime (82072139) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7814 + ... + 15006.

It is an arithmetic number, because the mean of its divisors is an integer number (5309172).

Almost surely, 2^82072130 is an apocalyptic number.

82072130 is an abundant number, since it is smaller than the sum of its proper divisors (87821374).

82072130 is a wasteful number, since it uses less digits than its factorization.

82072130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7370.

The product of its (nonzero) digits is 672, while the sum is 23.

The square root of 82072130 is about 9059.3669756777. The cubic root of 82072130 is about 434.5754963864.

Adding to 82072130 its reverse (3127028), we get a palindrome (85199158).

The spelling of 82072130 in words is "eighty-two million, seventy-two thousand, one hundred thirty".