72765027 has 16 divisors (see below), whose sum is σ = 107996160. Its totient is φ = 48421800.

The previous prime is 72765023. The next prime is 72765047. The reversal of 72765027 is 72056727.

It is not a de Polignac number, because 72765027 - 2² = 72765023 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 72764982 and 72765000.

It is not an unprimeable number, because it can be changed into a prime (72765023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14902 + ... + 19172.

It is an arithmetic number, because the mean of its divisors is an integer number (6749760).

Almost surely, 2^72765027 is an apocalyptic number.

72765027 is a deficient number, since it is larger than the sum of its proper divisors (35231133).

72765027 is a wasteful number, since it uses less digits than its factorization.

72765027 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4911 (or 4905 counting only the distinct ones).

The product of its (nonzero) digits is 41160, while the sum is 36.

The square root of 72765027 is about 8530.2419074725. The cubic root of 72765027 is about 417.4850212753.

The spelling of 72765027 in words is "seventy-two million, seven hundred sixty-five thousand, twenty-seven".