10187672 has 16 divisors (see below), whose sum is σ = 20838600. Its totient is φ = 4630720.

The previous prime is 10187657. The next prime is 10187677. The reversal of 10187672 is 27678101.

It is an alternating number because its digits alternate between odd and even.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10187677) 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 3 ways as a sum of consecutive naturals, for example, 57797 + ... + 57972.

Almost surely, 2^10187672 is an apocalyptic number.

It is an amenable number.

10187672 is an abundant number, since it is smaller than the sum of its proper divisors (10650928).

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

10187672 is a wasteful number, since it uses less digits than its factorization.

10187672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115786 (or 115782 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 32.

The square root of 10187672 is about 3191.8132777467. The cubic root of 10187672 is about 216.7828815067.

The spelling of 10187672 in words is "ten million, one hundred eighty-seven thousand, six hundred seventy-two".