72369884160 has 880 divisors, whose sum is σ = 300600869184. Its totient is φ = 16307453952.

The previous prime is 72369884159. The next prime is 72369884177. The reversal of 72369884160 is 6148896327.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 72369884097 and 72369884106.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 281594752 + ... + 281595008.

Almost surely, 2^72369884160 is an apocalyptic number.

72369884160 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 72369884160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150300434592).

72369884160 is an abundant number, since it is smaller than the sum of its proper divisors (228230985024).

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

72369884160 is a wasteful number, since it uses less digits than its factorization.

72369884160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 398 (or 371 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 72369884160 in words is "seventy-two billion, three hundred sixty-nine million, eight hundred eighty-four thousand, one hundred sixty".