72802435077 has 24 divisors (see below), whose sum is σ = 111370797720. Its totient is φ = 45669335040.

The previous prime is 72802435073. The next prime is 72802435093. The reversal of 72802435077 is 77053420827.

72802435077 is a `hidden beast` number, since 72 + 80 + 2 + 435 + 0 + 77 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 21748580676 + 51053854401 = 147474^2 + 225951^2 .

It is not a de Polignac number, because 72802435077 - 2² = 72802435073 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72802435073) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 632499 + ... + 738687.

It is an arithmetic number, because the mean of its divisors is an integer number (4640449905).

Almost surely, 2^72802435077 is an apocalyptic number.

It is an amenable number.

72802435077 is a deficient number, since it is larger than the sum of its proper divisors (38568362643).

72802435077 is a wasteful number, since it uses less digits than its factorization.

72802435077 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110693 (or 110690 counting only the distinct ones).

The product of its (nonzero) digits is 658560, while the sum is 45.

The spelling of 72802435077 in words is "seventy-two billion, eight hundred two million, four hundred thirty-five thousand, seventy-seven".