72780760 has 64 divisors (see below), whose sum is σ = 179071200. Its totient is φ = 26459136.

The previous prime is 72780731. The next prime is 72780761. The reversal of 72780760 is 6708727.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72780761) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 33796 + ... + 35884.

Almost surely, 2^72780760 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72780760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89535600).

72780760 is an abundant number, since it is smaller than the sum of its proper divisors (106290440).

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

72780760 is a wasteful number, since it uses less digits than its factorization.

72780760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2180 (or 2176 counting only the distinct ones).

The product of its (nonzero) digits is 32928, while the sum is 37.

The square root of 72780760 is about 8531.1640471861. The cubic root of 72780760 is about 417.5151081580.

The spelling of 72780760 in words is "seventy-two million, seven hundred eighty thousand, seven hundred sixty".