72635647877 has 12 divisors (see below), whose sum is σ = 81364973220. Its totient is φ = 64736275968.

The previous prime is 72635647871. The next prime is 72635647913. The reversal of 72635647877 is 77874653627.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 2163841 + 72633484036 = 1471^2 + 269506^2 .

It is not a de Polignac number, because 72635647877 - 2¹⁴ = 72635631493 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72635647871) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7405388 + ... + 7415189.

It is an arithmetic number, because the mean of its divisors is an integer number (6780414435).

Almost surely, 2^72635647877 is an apocalyptic number.

It is an amenable number.

72635647877 is a deficient number, since it is larger than the sum of its proper divisors (8729325343).

72635647877 is a wasteful number, since it uses less digits than its factorization.

72635647877 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14820632 (or 14820619 counting only the distinct ones).

The product of its digits is 82978560, while the sum is 62.

The spelling of 72635647877 in words is "seventy-two billion, six hundred thirty-five million, six hundred forty-seven thousand, eight hundred seventy-seven".