72766505 has 16 divisors (see below), whose sum is σ = 101061120. Its totient is φ = 49263552.

The previous prime is 72766501. The next prime is 72766537. The reversal of 72766505 is 50566727.

It is a cyclic number.

It is not a de Polignac number, because 72766505 - 2² = 72766501 is a prime.

It is not an unprimeable number, because it can be changed into a prime (72766501) 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 15 ways as a sum of consecutive naturals, for example, 10394 + ... + 15923.

It is an arithmetic number, because the mean of its divisors is an integer number (6316320).

Almost surely, 2^72766505 is an apocalyptic number.

It is an amenable number.

72766505 is a deficient number, since it is larger than the sum of its proper divisors (28294615).

72766505 is a wasteful number, since it uses less digits than its factorization.

72766505 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26408.

The product of its (nonzero) digits is 88200, while the sum is 38.

The square root of 72766505 is about 8530.3285399802. The cubic root of 72766505 is about 417.4878479019.

The spelling of 72766505 in words is "seventy-two million, seven hundred sixty-six thousand, five hundred five".