72764643 has 32 divisors (see below), whose sum is σ = 115405312. Its totient is φ = 39916800.

The previous prime is 72764621. The next prime is 72764651. The reversal of 72764643 is 34646727.

It is not a de Polignac number, because 72764643 - 2¹⁴ = 72748259 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (72764603) 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 31 ways as a sum of consecutive naturals, for example, 54423 + ... + 55743.

It is an arithmetic number, because the mean of its divisors is an integer number (3606416).

Almost surely, 2^72764643 is an apocalyptic number.

72764643 is a deficient number, since it is larger than the sum of its proper divisors (42640669).

72764643 is a wasteful number, since it uses less digits than its factorization.

72764643 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1435.

The product of its digits is 169344, while the sum is 39.

The square root of 72764643 is about 8530.2193992886. The cubic root of 72764643 is about 417.4842868816.

The spelling of 72764643 in words is "seventy-two million, seven hundred sixty-four thousand, six hundred forty-three".