72780276660 has 192 divisors, whose sum is σ = 258903343104. Its totient is φ = 14860454400.

The previous prime is 72780276641. The next prime is 72780276671. The reversal of 72780276660 is 6667208727.

It is a super-2 number, since 2×72780276660² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 45736 + ... + 384255.

It is an arithmetic number, because the mean of its divisors is an integer number (1348454912).

Almost surely, 2^72780276660 is an apocalyptic number.

72780276660 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 72780276660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129451671552).

72780276660 is an abundant number, since it is smaller than the sum of its proper divisors (186123066444).

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

72780276660 is a wasteful number, since it uses less digits than its factorization.

72780276660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 430054 (or 430052 counting only the distinct ones).

The product of its (nonzero) digits is 2370816, while the sum is 51.

The spelling of 72780276660 in words is "seventy-two billion, seven hundred eighty million, two hundred seventy-six thousand, six hundred sixty".