72339723792 has 240 divisors, whose sum is σ = 234137299968. Its totient is φ = 20422920960.

The previous prime is 72339723791. The next prime is 72339723793. The reversal of 72339723792 is 29732793327.

72339723792 is a `hidden beast` number, since 7 + 233 + 97 + 237 + 92 = 666.

It is an interprime number because it is at equal distance from previous prime (72339723791) and next prime (72339723793).

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

It is not an unprimeable number, because it can be changed into a prime (72339723791) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 34727583 + ... + 34729665.

Almost surely, 2^72339723792 is an apocalyptic number.

72339723792 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 72339723792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117068649984).

72339723792 is an abundant number, since it is smaller than the sum of its proper divisors (161797576176).

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

72339723792 is a wasteful number, since it uses less digits than its factorization.

72339723792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2498 (or 2489 counting only the distinct ones).

The product of its digits is 6001128, while the sum is 54.

The spelling of 72339723792 in words is "seventy-two billion, three hundred thirty-nine million, seven hundred twenty-three thousand, seven hundred ninety-two".