10000672 has 24 divisors (see below), whose sum is σ = 21479472. Its totient is φ = 4545600.

The previous prime is 10000667. The next prime is 10000687. The reversal of 10000672 is 27600001.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 13854 + ... + 14557.

It is an arithmetic number, because the mean of its divisors is an integer number (894978).

Almost surely, 2^10000672 is an apocalyptic number.

It is an amenable number.

10000672 is an abundant number, since it is smaller than the sum of its proper divisors (11478800).

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

10000672 is a wasteful number, since it uses less digits than its factorization.

10000672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28432 (or 28424 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 16.

The square root of 10000672 is about 3162.3839109128. The cubic root of 10000672 is about 215.4482948288.

Adding to 10000672 its reverse (27600001), we get a palindrome (37600673).

The spelling of 10000672 in words is "ten million, six hundred seventy-two", and thus it is an aban number.