82372939200 has 336 divisors, whose sum is σ = 305954033760. Its totient is φ = 21551063040.

The previous prime is 82372939193. The next prime is 82372939217. The reversal of 82372939200 is 293927328.

82372939200 is a `hidden beast` number, since 8 + 237 + 29 + 392 + 0 + 0 = 666.

It is a super-2 number, since 2×82372939200² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2271612 + ... + 2307588.

Almost surely, 2^82372939200 is an apocalyptic number.

82372939200 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82372939200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152977016880).

82372939200 is an abundant number, since it is smaller than the sum of its proper divisors (223581094560).

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

82372939200 is a wasteful number, since it uses less digits than its factorization.

82372939200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36061 (or 36040 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The spelling of 82372939200 in words is "eighty-two billion, three hundred seventy-two million, nine hundred thirty-nine thousand, two hundred".