72766017 has 24 divisors (see below), whose sum is σ = 110073600. Its totient is φ = 46259808.

The previous prime is 72766009. The next prime is 72766039. The reversal of 72766017 is 71066727.

It is not a de Polignac number, because 72766017 - 2³ = 72766009 is a prime.

It is not an unprimeable number, because it can be changed into a prime (72766097) 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, 19984 + ... + 23342.

It is an arithmetic number, because the mean of its divisors is an integer number (4586400).

Almost surely, 2^72766017 is an apocalyptic number.

It is an amenable number.

72766017 is a deficient number, since it is larger than the sum of its proper divisors (37307583).

72766017 is a wasteful number, since it uses less digits than its factorization.

72766017 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3477 (or 3474 counting only the distinct ones).

The product of its (nonzero) digits is 24696, while the sum is 36.

The square root of 72766017 is about 8530.2999361101. The cubic root of 72766017 is about 417.4869146221.

The spelling of 72766017 in words is "seventy-two million, seven hundred sixty-six thousand, seventeen".