72082269376 has 224 divisors, whose sum is σ = 167137689600. Its totient is φ = 30752916480.

The previous prime is 72082269359. The next prime is 72082269377. The reversal of 72082269376 is 67396228027.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is not an unprimeable number, because it can be changed into a prime (72082269377) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 100253145 + ... + 100253863.

It is an arithmetic number, because the mean of its divisors is an integer number (746150400).

Almost surely, 2^72082269376 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72082269376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83568844800).

72082269376 is an abundant number, since it is smaller than the sum of its proper divisors (95055420224).

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

72082269376 is a wasteful number, since it uses less digits than its factorization.

72082269376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 824 (or 788 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 52.

The spelling of 72082269376 in words is "seventy-two billion, eighty-two million, two hundred sixty-nine thousand, three hundred seventy-six".