72852689 has 12 divisors (see below), whose sum is σ = 90158976. Its totient is φ = 57640752.

The previous prime is 72852671. The next prime is 72852691. The reversal of 72852689 is 98625827.

It is not a de Polignac number, because 72852689 - 2¹⁶ = 72787153 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (72852629) 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 11 ways as a sum of consecutive naturals, for example, 29609 + ... + 31974.

It is an arithmetic number, because the mean of its divisors is an integer number (7513248).

Almost surely, 2^72852689 is an apocalyptic number.

It is an amenable number.

72852689 is a deficient number, since it is larger than the sum of its proper divisors (17306287).

72852689 is a wasteful number, since it uses less digits than its factorization.

72852689 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61616 (or 61603 counting only the distinct ones).

The product of its digits is 483840, while the sum is 47.

The square root of 72852689 is about 8535.3786676398. The cubic root of 72852689 is about 417.6526058351.

The spelling of 72852689 in words is "seventy-two million, eight hundred fifty-two thousand, six hundred eighty-nine".