72082669120 has 336 divisors, whose sum is σ = 225349490880. Its totient is φ = 21691084800.

The previous prime is 72082669103. The next prime is 72082669157. The reversal of 72082669120 is 2196628027.

It is a super-2 number, since 2×72082669120² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4994715 + ... + 5009125.

Almost surely, 2^72082669120 is an apocalyptic number.

72082669120 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 72082669120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112674745440).

72082669120 is an abundant number, since it is smaller than the sum of its proper divisors (153266821760).

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

72082669120 is a wasteful number, since it uses less digits than its factorization.

72082669120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14482 (or 14465 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 43.

The spelling of 72082669120 in words is "seventy-two billion, eighty-two million, six hundred sixty-nine thousand, one hundred twenty".