72922332672 has 960 divisors, whose sum is σ = 268060176384. Its totient is φ = 19349176320.

The previous prime is 72922332667. The next prime is 72922332673. The reversal of 72922332672 is 27623322927.

72922332672 is a `hidden beast` number, since 72 + 92 + 233 + 267 + 2 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72922332673) 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, 998936028 + ... + 998936100.

Almost surely, 2^72922332672 is an apocalyptic number.

72922332672 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 72922332672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134030088192).

72922332672 is an abundant number, since it is smaller than the sum of its proper divisors (195137843712).

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

72922332672 is an equidigital number, since it uses as much as digits as its factorization.

72922332672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181 (or 153 counting only the distinct ones).

The product of its digits is 762048, while the sum is 45.

The spelling of 72922332672 in words is "seventy-two billion, nine hundred twenty-two million, three hundred thirty-two thousand, six hundred seventy-two".