72836442000 has 480 divisors, whose sum is σ = 303525930240. Its totient is φ = 16647724800.

The previous prime is 72836441999. The next prime is 72836442001. The reversal of 72836442000 is 24463827.

72836442000 is a `hidden beast` number, since 7 + 2 + 8 + 3 + 644 + 2 + 0 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (72836441999) and next prime (72836442001).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (72836442001) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 2632237 + ... + 2659763.

It is an arithmetic number, because the mean of its divisors is an integer number (632345688).

Almost surely, 2^72836442000 is an apocalyptic number.

72836442000 is a gapful number since it is divisible by the number (70) 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 72836442000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151762965120).

72836442000 is an abundant number, since it is smaller than the sum of its proper divisors (230689488240).

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

72836442000 is a wasteful number, since it uses less digits than its factorization.

72836442000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27573 (or 27544 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The spelling of 72836442000 in words is "seventy-two billion, eight hundred thirty-six million, four hundred forty-two thousand".