82072874423232 has 672 divisors, whose sum is σ = 300493337324544. Its totient is φ = 20800629964800.

The previous prime is 82072874423213. The next prime is 82072874423233. The reversal of 82072874423232 is 23232447827028.

82072874423232 is a `hidden beast` number, since 8 + 20 + 72 + 87 + 442 + 3 + 2 + 32 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×82072874423232² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82072874423233) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 305317878 + ... + 305586570.

It is an arithmetic number, because the mean of its divisors is an integer number (447162704352).

Almost surely, 2^{82072874423232} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82072874423232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150246668662272).

82072874423232 is an abundant number, since it is smaller than the sum of its proper divisors (218420462901312).

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

82072874423232 is a wasteful number, since it uses less digits than its factorization.

82072874423232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 268897 (or 268884 counting only the distinct ones).

The product of its (nonzero) digits is 14450688, while the sum is 54.

The spelling of 82072874423232 in words is "eighty-two trillion, seventy-two billion, eight hundred seventy-four million, four hundred twenty-three thousand, two hundred thirty-two".