72634985 has 8 divisors (see below), whose sum is σ = 89288136. Its totient is φ = 56690560.

The previous prime is 72634979. The next prime is 72634987. The reversal of 72634985 is 58943627.

It can be written as a sum of positive squares in 4 ways, for example, as 5837056 + 66797929 = 2416^2 + 8173^2 .

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

It is not a de Polignac number, because 72634985 - 2¹⁸ = 72372841 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (72634987) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 176954 + ... + 177363.

It is an arithmetic number, because the mean of its divisors is an integer number (11161017).

Almost surely, 2^72634985 is an apocalyptic number.

It is an amenable number.

72634985 is a deficient number, since it is larger than the sum of its proper divisors (16653151).

72634985 is a wasteful number, since it uses less digits than its factorization.

72634985 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 354363.

The product of its digits is 362880, while the sum is 44.

The square root of 72634985 is about 8522.6160889717. The cubic root of 72634985 is about 417.2361702208.

The spelling of 72634985 in words is "seventy-two million, six hundred thirty-four thousand, nine hundred eighty-five".