72779029680 has 320 divisors, whose sum is σ = 265554432000. Its totient is φ = 16480558080.

The previous prime is 72779029669. The next prime is 72779029699. The reversal of 72779029680 is 8692097727.

It is a super-2 number, since 2×72779029680² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 72779029680.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8968825 + ... + 8976935.

It is an arithmetic number, because the mean of its divisors is an integer number (829857600).

Almost surely, 2^72779029680 is an apocalyptic number.

72779029680 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 72779029680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132777216000).

72779029680 is an abundant number, since it is smaller than the sum of its proper divisors (192775402320).

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

72779029680 is a wasteful number, since it uses less digits than its factorization.

72779029680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8257 (or 8237 counting only the distinct ones).

The product of its (nonzero) digits is 5334336, while the sum is 57.

The spelling of 72779029680 in words is "seventy-two billion, seven hundred seventy-nine million, twenty-nine thousand, six hundred eighty".