81038672 has 40 divisors (see below), whose sum is σ = 184467360. Its totient is φ = 34001280.

The previous prime is 81038647. The next prime is 81038693. The reversal of 81038672 is 27683018.

It is a super-3 number, since 3×81038672³ (a number of 25 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

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, 15422 + ... + 19997.

It is an arithmetic number, because the mean of its divisors is an integer number (4611684).

Almost surely, 2^81038672 is an apocalyptic number.

It is an amenable number.

81038672 is an abundant number, since it is smaller than the sum of its proper divisors (103428688).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

81038672 is a wasteful number, since it uses less digits than its factorization.

81038672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35451 (or 35445 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 35.

The square root of 81038672 is about 9002.1481880716. The cubic root of 81038672 is about 432.7437177608.

The spelling of 81038672 in words is "eighty-one million, thirty-eight thousand, six hundred seventy-two".