82524000072 has 32 divisors (see below), whose sum is σ = 206471635200. Its totient is φ = 27486448704.

The previous prime is 82524000071. The next prime is 82524000073. The reversal of 82524000072 is 27000042528.

It is an interprime number because it is at equal distance from previous prime (82524000071) and next prime (82524000073).

It is not an unprimeable number, because it can be changed into a prime (82524000071) 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 7 ways as a sum of consecutive naturals, for example, 1315672 + ... + 1376967.

It is an arithmetic number, because the mean of its divisors is an integer number (6452238600).

Almost surely, 2^82524000072 is an apocalyptic number.

It is an amenable number.

82524000072 is an abundant number, since it is smaller than the sum of its proper divisors (123947635128).

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

82524000072 is a wasteful number, since it uses less digits than its factorization.

82524000072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2693925 (or 2693921 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 30.

The spelling of 82524000072 in words is "eighty-two billion, five hundred twenty-four million, seventy-two", and thus it is an aban number.