72776077248 has 112 divisors (see below), whose sum is σ = 220643175680. Its totient is φ = 20738156544.

The previous prime is 72776077247. The next prime is 72776077273. The reversal of 72776077248 is 84277067727.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72776077247) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 437940 + ... + 580812.

Almost surely, 2^72776077248 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 72776077248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110321587840).

72776077248 is an abundant number, since it is smaller than the sum of its proper divisors (147867098432).

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

72776077248 is a wasteful number, since it uses less digits than its factorization.

72776077248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143274 (or 143264 counting only the distinct ones).

The product of its (nonzero) digits is 12907776, while the sum is 57.

The spelling of 72776077248 in words is "seventy-two billion, seven hundred seventy-six million, seventy-seven thousand, two hundred forty-eight".