72832202352 has 400 divisors, whose sum is σ = 273106408960. Its totient is φ = 18196959744.

The previous prime is 72832202351. The next prime is 72832202413. The reversal of 72832202352 is 25320223827.

It is a happy number.

72832202352 is a `hidden beast` number, since 7 + 2 + 83 + 220 + 2 + 352 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72832202351) 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 79 ways as a sum of consecutive naturals, for example, 2224533 + ... + 2257035.

Almost surely, 2^72832202352 is an apocalyptic number.

72832202352 is a gapful number since it is divisible by the number (72) 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 72832202352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136553204480).

72832202352 is an abundant number, since it is smaller than the sum of its proper divisors (200274206608).

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

72832202352 is a wasteful number, since it uses less digits than its factorization.

72832202352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32562 (or 32547 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The spelling of 72832202352 in words is "seventy-two billion, eight hundred thirty-two million, two hundred two thousand, three hundred fifty-two".