82416232440072 has 80 divisors (see below), whose sum is σ = 231657457946640. Its totient is φ = 27375002940384.

The previous prime is 82416232440049. The next prime is 82416232440107. The reversal of 82416232440072 is 27004423261428.

82416232440072 is a `hidden beast` number, since 8 + 2 + 4 + 1 + 6 + 232 + 4 + 400 + 7 + 2 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 224526058 + ... + 224892825.

It is an arithmetic number, because the mean of its divisors is an integer number (2895718224333).

Almost surely, 2^{82416232440072} is an apocalyptic number.

It is an amenable number.

82416232440072 is an abundant number, since it is smaller than the sum of its proper divisors (149241225506568).

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

82416232440072 is a wasteful number, since it uses less digits than its factorization.

82416232440072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 449419184 (or 449419171 counting only the distinct ones).

The product of its (nonzero) digits is 1032192, while the sum is 45.

The spelling of 82416232440072 in words is "eighty-two trillion, four hundred sixteen billion, two hundred thirty-two million, four hundred forty thousand, seventy-two".