72766945 has 8 divisors (see below), whose sum is σ = 90331560. Its totient is φ = 56206080.

The previous prime is 72766943. The next prime is 72766973. The reversal of 72766945 is 54966727.

It can be written as a sum of positive squares in 4 ways, for example, as 23104 + 72743841 = 152^2 + 8529^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 72766945 - 2¹ = 72766943 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 72766895 and 72766904.

It is not an unprimeable number, because it can be changed into a prime (72766943) 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 7 ways as a sum of consecutive naturals, for example, 250776 + ... + 251065.

It is an arithmetic number, because the mean of its divisors is an integer number (11291445).

Almost surely, 2^72766945 is an apocalyptic number.

It is an amenable number.

72766945 is a deficient number, since it is larger than the sum of its proper divisors (17564615).

72766945 is a wasteful number, since it uses less digits than its factorization.

72766945 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 501875.

The product of its digits is 635040, while the sum is 46.

The square root of 72766945 is about 8530.3543302726. The cubic root of 72766945 is about 417.4886893801.

The spelling of 72766945 in words is "seventy-two million, seven hundred sixty-six thousand, nine hundred forty-five".