72768587427 has 12 divisors (see below), whose sum is σ = 106376570664. Its totient is φ = 47927904480.

The previous prime is 72768587413. The next prime is 72768587447. The reversal of 72768587427 is 72478586727.

It is a happy number.

72768587427 is a `hidden beast` number, since 7 + 2 + 7 + 6 + 8 + 587 + 42 + 7 = 666.

It is not a de Polignac number, because 72768587427 - 2¹⁰ = 72768586403 is a prime.

It is a super-2 number, since 2×72768587427² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (72768587447) 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, 48706474 + ... + 48707967.

It is an arithmetic number, because the mean of its divisors is an integer number (8864714222).

Almost surely, 2^72768587427 is an apocalyptic number.

72768587427 is a deficient number, since it is larger than the sum of its proper divisors (33607983237).

72768587427 is a wasteful number, since it uses less digits than its factorization.

72768587427 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97414530 (or 97414527 counting only the distinct ones).

The product of its digits is 73758720, while the sum is 63.

The spelling of 72768587427 in words is "seventy-two billion, seven hundred sixty-eight million, five hundred eighty-seven thousand, four hundred twenty-seven".