72879636480 has 816 divisors, whose sum is σ = 290474307360. Its totient is φ = 15502147584.

The previous prime is 72879636443. The next prime is 72879636541. The reversal of 72879636480 is 8463697827.

It is a tau number, because it is divible by the number of its divisors (816).

It is a super-2 number, since 2×72879636480² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

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, 818872276 + ... + 818872364.

Almost surely, 2^72879636480 is an apocalyptic number.

72879636480 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 72879636480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145237153680).

72879636480 is an abundant number, since it is smaller than the sum of its proper divisors (217594670880).

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

72879636480 is an equidigital number, since it uses as much as digits as its factorization.

72879636480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 24385536, while the sum is 60.

The spelling of 72879636480 in words is "seventy-two billion, eight hundred seventy-nine million, six hundred thirty-six thousand, four hundred eighty".