72780680 has 96 divisors (see below), whose sum is σ = 193544640. Its totient is φ = 24554880.

The previous prime is 72780679. The next prime is 72780683. The reversal of 72780680 is 8608727.

It is not an unprimeable number, because it can be changed into a prime (72780683) 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 23 ways as a sum of consecutive naturals, for example, 138899 + ... + 139421.

It is an arithmetic number, because the mean of its divisors is an integer number (2016090).

Almost surely, 2^72780680 is an apocalyptic number.

72780680 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 72780680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96772320).

72780680 is an abundant number, since it is smaller than the sum of its proper divisors (120763960).

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

72780680 is a wasteful number, since it uses less digits than its factorization.

72780680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 619 (or 608 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 38.

The square root of 72780680 is about 8531.1593584928. The cubic root of 72780680 is about 417.5149551816.

The spelling of 72780680 in words is "seventy-two million, seven hundred eighty thousand, six hundred eighty".