77272207272 has 192 divisors, whose sum is σ = 229456281600. Its totient is φ = 23349427200.

The previous prime is 77272207253. The next prime is 77272207273. The reversal of 77272207272 is 27270227277.

It is not an unprimeable number, because it can be changed into a prime (77272207273) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12575833 + ... + 12581975.

It is an arithmetic number, because the mean of its divisors is an integer number (1195084800).

Almost surely, 2^77272207272 is an apocalyptic number.

77272207272 is a gapful number since it is divisible by the number (72) 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 77272207272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114728140800).

77272207272 is an abundant number, since it is smaller than the sum of its proper divisors (152184074328).

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

77272207272 is a wasteful number, since it uses less digits than its factorization.

77272207272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6408 (or 6401 counting only the distinct ones).

The product of its (nonzero) digits is 537824, while the sum is 45.

The spelling of 77272207272 in words is "seventy-seven billion, two hundred seventy-two million, two hundred seven thousand, two hundred seventy-two".