72677117133 has 64 divisors (see below), whose sum is σ = 115417612800. Its totient is φ = 45122987520.

The previous prime is 72677117099. The next prime is 72677117141. The reversal of 72677117133 is 33171177627.

It is not a de Polignac number, because 72677117133 - 2¹³ = 72677108941 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72677117143) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2154088 + ... + 2187566.

It is an arithmetic number, because the mean of its divisors is an integer number (1803400200).

Almost surely, 2^72677117133 is an apocalyptic number.

It is an amenable number.

72677117133 is a deficient number, since it is larger than the sum of its proper divisors (42740495667).

72677117133 is a wasteful number, since it uses less digits than its factorization.

72677117133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33619 (or 33613 counting only the distinct ones).

The product of its digits is 259308, while the sum is 45.

The spelling of 72677117133 in words is "seventy-two billion, six hundred seventy-seven million, one hundred seventeen thousand, one hundred thirty-three".