72764145 has 24 divisors (see below), whose sum is σ = 126473256. Its totient is φ = 38700288.

The previous prime is 72764143. The next prime is 72764171. The reversal of 72764145 is 54146727.

72764145 is a `hidden beast` number, since 7 + 2 + 7 + 641 + 4 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2405601 + 70358544 = 1551^2 + 8388^2 .

It is not a de Polignac number, because 72764145 - 2¹ = 72764143 is a prime.

It is not an unprimeable number, because it can be changed into a prime (72764141) 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 23 ways as a sum of consecutive naturals, for example, 15829 + ... + 19901.

It is an arithmetic number, because the mean of its divisors is an integer number (5269719).

Almost surely, 2^72764145 is an apocalyptic number.

It is an amenable number.

72764145 is a deficient number, since it is larger than the sum of its proper divisors (53709111).

72764145 is a wasteful number, since it uses less digits than its factorization.

72764145 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4481 (or 4478 counting only the distinct ones).

The product of its digits is 47040, while the sum is 36.

The square root of 72764145 is about 8530.1902088992. The cubic root of 72764145 is about 417.4833344609.

The spelling of 72764145 in words is "seventy-two million, seven hundred sixty-four thousand, one hundred forty-five".