10017672 has 32 divisors (see below), whose sum is σ = 28622400. Its totient is φ = 2862144.

The previous prime is 10017671. The next prime is 10017691. The reversal of 10017672 is 27671001.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (10017671) 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, 29647 + ... + 29982.

It is an arithmetic number, because the mean of its divisors is an integer number (894450).

Almost surely, 2^10017672 is an apocalyptic number.

10017672 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10017672 is an abundant number, since it is smaller than the sum of its proper divisors (18604728).

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

10017672 is a wasteful number, since it uses less digits than its factorization.

10017672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59645 (or 59641 counting only the distinct ones).

The product of its (nonzero) digits is 588, while the sum is 24.

The square root of 10017672 is about 3165.0706153260. The cubic root of 10017672 is about 215.5703048839.

Adding to 10017672 its reverse (27671001), we get a palindrome (37688673).

The spelling of 10017672 in words is "ten million, seventeen thousand, six hundred seventy-two".