72761517 has 8 divisors (see below), whose sum is σ = 107794880. Its totient is φ = 48507660.

The previous prime is 72761503. The next prime is 72761519. The reversal of 72761517 is 71516727.

72761517 is a `hidden beast` number, since 7 + 27 + 615 + 17 = 666.

It is not a de Polignac number, because 72761517 - 2¹⁴ = 72745133 is a prime.

It is a super-2 number, since 2×72761517² = 10588476712282578, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72761519) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1347409 + ... + 1347462.

It is an arithmetic number, because the mean of its divisors is an integer number (13474360).

Almost surely, 2^72761517 is an apocalyptic number.

It is an amenable number.

72761517 is a deficient number, since it is larger than the sum of its proper divisors (35033363).

72761517 is a wasteful number, since it uses less digits than its factorization.

72761517 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2694880 (or 2694874 counting only the distinct ones).

The product of its digits is 20580, while the sum is 36.

The square root of 72761517 is about 8530.0361663946. The cubic root of 72761517 is about 417.4783083618.

The spelling of 72761517 in words is "seventy-two million, seven hundred sixty-one thousand, five hundred seventeen".