72869985 has 24 divisors (see below), whose sum is σ = 127566504. Its totient is φ = 38476800.

The previous prime is 72869969. The next prime is 72869999. The reversal of 72869985 is 58996827.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 4460544 + 68409441 = 2112^2 + 8271^2 .

It is not a de Polignac number, because 72869985 - 2⁴ = 72869969 is a prime.

It is an unprimeable number.

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, 3472 + ... + 12561.

It is an arithmetic number, because the mean of its divisors is an integer number (5315271).

Almost surely, 2^72869985 is an apocalyptic number.

It is an amenable number.

72869985 is a deficient number, since it is larger than the sum of its proper divisors (54696519).

72869985 is a wasteful number, since it uses less digits than its factorization.

72869985 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16145 (or 16142 counting only the distinct ones).

The product of its digits is 2177280, while the sum is 54.

The square root of 72869985 is about 8536.3918021609. The cubic root of 72869985 is about 417.6856549373.

It can be divided in two parts, 7286 and 9985, that added together give a palindrome (17271).

The spelling of 72869985 in words is "seventy-two million, eight hundred sixty-nine thousand, nine hundred eighty-five".